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Finding the Third Proportional to 5,209,889,481,781 and 7,881,840,539,974

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Solution

The third proportional to 5,209,889,481,781 and 7,881,840,539,974 is: 11,924,132,078,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,889,481,781 : 7,881,840,539,974 = 7,881,840,539,974 : x
  2. Step 2: Convert to fraction form
    5,209,889,481,781/7,881,840,539,974 = 7,881,840,539,974/x
  3. Step 3: Cross multiply
    5,209,889,481,781x = 7,881,840,539,974 × 7,881,840,539,974
  4. Step 4: Simplify right side
    5,209,889,481,781x = 62,123,410,297,577,637,846,974,464
  5. Step 5: Solve for x
    x = 62,123,410,297,577,637,846,974,464/5,209,889,481,781
  6. Step 6: Final answer
    x = 11,924,132,078,967.01

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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.