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Finding the Third Proportional to 8,385,034,681 and 17,947,967,474

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Solution

The third proportional to 8,385,034,681 and 17,947,967,474 is: 38,417,197,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385,034,681 : 17,947,967,474 = 17,947,967,474 : x
  2. Step 2: Convert to fraction form
    8,385,034,681/17,947,967,474 = 17,947,967,474/x
  3. Step 3: Cross multiply
    8,385,034,681x = 17,947,967,474 × 17,947,967,474
  4. Step 4: Simplify right side
    8,385,034,681x = 322,129,536,447,761,940,480
  5. Step 5: Solve for x
    x = 322,129,536,447,761,940,480/8,385,034,681
  6. Step 6: Final answer
    x = 38,417,197,865.35

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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.