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Finding the Third Proportional to 67,587,536,438 and 140,737,244,822

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Solution

The third proportional to 67,587,536,438 and 140,737,244,822 is: 293,056,577,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,587,536,438 : 140,737,244,822 = 140,737,244,822 : x
  2. Step 2: Convert to fraction form
    67,587,536,438/140,737,244,822 = 140,737,244,822/x
  3. Step 3: Cross multiply
    67,587,536,438x = 140,737,244,822 × 140,737,244,822
  4. Step 4: Simplify right side
    67,587,536,438x = 19,806,972,080,087,564,812,288
  5. Step 5: Solve for x
    x = 19,806,972,080,087,564,812,288/67,587,536,438
  6. Step 6: Final answer
    x = 293,056,577,054.81

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.