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Finding the Third Proportional to 3,482,713.13 and 5,381,677.69

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Solution

The third proportional to 3,482,713.13 and 5,381,677.69 is: 8,316,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482,713.13 : 5,381,677.69 = 5,381,677.69 : x
  2. Step 2: Convert to fraction form
    3,482,713.13/5,381,677.69 = 5,381,677.69/x
  3. Step 3: Cross multiply
    3,482,713.13x = 5,381,677.69 × 5,381,677.69
  4. Step 4: Simplify right side
    3,482,713.13x = 28,962,454,732,135.35
  5. Step 5: Solve for x
    x = 28,962,454,732,135.35/3,482,713.13
  6. Step 6: Final answer
    x = 8,316,060.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.