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Finding the Third Proportional to 555,381,630 and 1,156,731,864

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Solution

The third proportional to 555,381,630 and 1,156,731,864 is: 2,409,205,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,381,630 : 1,156,731,864 = 1,156,731,864 : x
  2. Step 2: Convert to fraction form
    555,381,630/1,156,731,864 = 1,156,731,864/x
  3. Step 3: Cross multiply
    555,381,630x = 1,156,731,864 × 1,156,731,864
  4. Step 4: Simplify right side
    555,381,630x = 1,338,028,605,192,914,432
  5. Step 5: Solve for x
    x = 1,338,028,605,192,914,432/555,381,630
  6. Step 6: Final answer
    x = 2,409,205,729.75

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Why These Related Problems?

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