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Finding the Third Proportional to 47,726,282,169 and 71,788,680,460

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Solution

The third proportional to 47,726,282,169 and 71,788,680,460 is: 107,982,738,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,726,282,169 : 71,788,680,460 = 71,788,680,460 : x
  2. Step 2: Convert to fraction form
    47,726,282,169/71,788,680,460 = 71,788,680,460/x
  3. Step 3: Cross multiply
    47,726,282,169x = 71,788,680,460 × 71,788,680,460
  4. Step 4: Simplify right side
    47,726,282,169x = 5,153,614,642,187,985,747,968
  5. Step 5: Solve for x
    x = 5,153,614,642,187,985,747,968/47,726,282,169
  6. Step 6: Final answer
    x = 107,982,738,398.50

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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.