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Finding the Third Proportional to 8,385,034,680 and 17,947,967,472

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Solution

The third proportional to 8,385,034,680 and 17,947,967,472 is: 38,417,197,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385,034,680 : 17,947,967,472 = 17,947,967,472 : x
  2. Step 2: Convert to fraction form
    8,385,034,680/17,947,967,472 = 17,947,967,472/x
  3. Step 3: Cross multiply
    8,385,034,680x = 17,947,967,472 × 17,947,967,472
  4. Step 4: Simplify right side
    8,385,034,680x = 322,129,536,375,970,070,528
  5. Step 5: Solve for x
    x = 322,129,536,375,970,070,528/8,385,034,680
  6. Step 6: Final answer
    x = 38,417,197,861.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.