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Finding the Third Proportional to 5,209,889,481,788.70 and 7,881,840,539,983.20

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Solution

The third proportional to 5,209,889,481,788.70 and 7,881,840,539,983.20 is: 11,924,132,078,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,889,481,788.70 : 7,881,840,539,983.20 = 7,881,840,539,983.20 : x
  2. Step 2: Convert to fraction form
    5,209,889,481,788.70/7,881,840,539,983.20 = 7,881,840,539,983.20/x
  3. Step 3: Cross multiply
    5,209,889,481,788.70x = 7,881,840,539,983.20 × 7,881,840,539,983.20
  4. Step 4: Simplify right side
    5,209,889,481,788.70x = 62,123,410,297,722,661,712,691,200
  5. Step 5: Solve for x
    x = 62,123,410,297,722,661,712,691,200/5,209,889,481,788.70
  6. Step 6: Final answer
    x = 11,924,132,078,977.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.