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Finding the Third Proportional to 4,966,734,566 and 10,815,267,532

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Solution

The third proportional to 4,966,734,566 and 10,815,267,532 is: 23,550,687,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966,734,566 : 10,815,267,532 = 10,815,267,532 : x
  2. Step 2: Convert to fraction form
    4,966,734,566/10,815,267,532 = 10,815,267,532/x
  3. Step 3: Cross multiply
    4,966,734,566x = 10,815,267,532 × 10,815,267,532
  4. Step 4: Simplify right side
    4,966,734,566x = 116,970,011,788,733,366,272
  5. Step 5: Solve for x
    x = 116,970,011,788,733,366,272/4,966,734,566
  6. Step 6: Final answer
    x = 23,550,687,123.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.