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Finding the Third Proportional to 31,049,044,192 and 67,538,201,960

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Solution

The third proportional to 31,049,044,192 and 67,538,201,960 is: 146,909,795,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049,044,192 : 67,538,201,960 = 67,538,201,960 : x
  2. Step 2: Convert to fraction form
    31,049,044,192/67,538,201,960 = 67,538,201,960/x
  3. Step 3: Cross multiply
    31,049,044,192x = 67,538,201,960 × 67,538,201,960
  4. Step 4: Simplify right side
    31,049,044,192x = 4,561,408,723,989,747,990,528
  5. Step 5: Solve for x
    x = 4,561,408,723,989,747,990,528/31,049,044,192
  6. Step 6: Final answer
    x = 146,909,795,218.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.