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Finding the Third Proportional to 70,154,656,092 and 163,699,854,606

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Solution

The third proportional to 70,154,656,092 and 163,699,854,606 is: 381,979,527,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154,656,092 : 163,699,854,606 = 163,699,854,606 : x
  2. Step 2: Convert to fraction form
    70,154,656,092/163,699,854,606 = 163,699,854,606/x
  3. Step 3: Cross multiply
    70,154,656,092x = 163,699,854,606 × 163,699,854,606
  4. Step 4: Simplify right side
    70,154,656,092x = 26,797,642,398,025,539,125,248
  5. Step 5: Solve for x
    x = 26,797,642,398,025,539,125,248/70,154,656,092
  6. Step 6: Final answer
    x = 381,979,527,672.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.