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Finding the Third Proportional to 47,583,635,506 and 71,988,445,554

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Solution

The third proportional to 47,583,635,506 and 71,988,445,554 is: 108,910,053,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,583,635,506 : 71,988,445,554 = 71,988,445,554 : x
  2. Step 2: Convert to fraction form
    47,583,635,506/71,988,445,554 = 71,988,445,554/x
  3. Step 3: Cross multiply
    47,583,635,506x = 71,988,445,554 × 71,988,445,554
  4. Step 4: Simplify right side
    47,583,635,506x = 5,182,336,293,281,222,098,944
  5. Step 5: Solve for x
    x = 5,182,336,293,281,222,098,944/47,583,635,506
  6. Step 6: Final answer
    x = 108,910,053,596.64

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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.