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Finding the Third Proportional to 33,924,417,476 and 74,578,472,342

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Solution

The third proportional to 33,924,417,476 and 74,578,472,342 is: 163,951,187,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,924,417,476 : 74,578,472,342 = 74,578,472,342 : x
  2. Step 2: Convert to fraction form
    33,924,417,476/74,578,472,342 = 74,578,472,342/x
  3. Step 3: Cross multiply
    33,924,417,476x = 74,578,472,342 × 74,578,472,342
  4. Step 4: Simplify right side
    33,924,417,476x = 5,561,948,536,866,459,353,088
  5. Step 5: Solve for x
    x = 5,561,948,536,866,459,353,088/33,924,417,476
  6. Step 6: Final answer
    x = 163,951,187,689.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.