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Finding the Third Proportional to 47,726,282,160 and 71,788,680,432

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Solution

The third proportional to 47,726,282,160 and 71,788,680,432 is: 107,982,738,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,726,282,160 : 71,788,680,432 = 71,788,680,432 : x
  2. Step 2: Convert to fraction form
    47,726,282,160/71,788,680,432 = 71,788,680,432/x
  3. Step 3: Cross multiply
    47,726,282,160x = 71,788,680,432 × 71,788,680,432
  4. Step 4: Simplify right side
    47,726,282,160x = 5,153,614,638,167,819,812,864
  5. Step 5: Solve for x
    x = 5,153,614,638,167,819,812,864/47,726,282,160
  6. Step 6: Final answer
    x = 107,982,738,334.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.