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Finding the Third Proportional to 42,822,573,332 and 92,760,933,160

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Solution

The third proportional to 42,822,573,332 and 92,760,933,160 is: 200,935,862,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,822,573,332 : 92,760,933,160 = 92,760,933,160 : x
  2. Step 2: Convert to fraction form
    42,822,573,332/92,760,933,160 = 92,760,933,160/x
  3. Step 3: Cross multiply
    42,822,573,332x = 92,760,933,160 × 92,760,933,160
  4. Step 4: Simplify right side
    42,822,573,332x = 8,604,590,720,713,987,457,024
  5. Step 5: Solve for x
    x = 8,604,590,720,713,987,457,024/42,822,573,332
  6. Step 6: Final answer
    x = 200,935,862,821.77

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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.