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Finding the Third Proportional to 42,822,573,506 and 92,760,933,508

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Solution

The third proportional to 42,822,573,506 and 92,760,933,508 is: 200,935,863,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,822,573,506 : 92,760,933,508 = 92,760,933,508 : x
  2. Step 2: Convert to fraction form
    42,822,573,506/92,760,933,508 = 92,760,933,508/x
  3. Step 3: Cross multiply
    42,822,573,506x = 92,760,933,508 × 92,760,933,508
  4. Step 4: Simplify right side
    42,822,573,506x = 8,604,590,785,275,597,160,448
  5. Step 5: Solve for x
    x = 8,604,590,785,275,597,160,448/42,822,573,506
  6. Step 6: Final answer
    x = 200,935,863,512.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.