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Finding the Third Proportional to 5,209,889,481,819 and 7,881,840,540,023.70

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Solution

The third proportional to 5,209,889,481,819 and 7,881,840,540,023.70 is: 11,924,132,079,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,889,481,819 : 7,881,840,540,023.70 = 7,881,840,540,023.70 : x
  2. Step 2: Convert to fraction form
    5,209,889,481,819/7,881,840,540,023.70 = 7,881,840,540,023.70/x
  3. Step 3: Cross multiply
    5,209,889,481,819x = 7,881,840,540,023.70 × 7,881,840,540,023.70
  4. Step 4: Simplify right side
    5,209,889,481,819x = 62,123,410,298,361,091,421,372,416
  5. Step 5: Solve for x
    x = 62,123,410,298,361,091,421,372,416/5,209,889,481,819
  6. Step 6: Final answer
    x = 11,924,132,079,030.42

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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.