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Finding the Third Proportional to 3,116,251.13 and 4,661,956.13

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Solution

The third proportional to 3,116,251.13 and 4,661,956.13 is: 6,974,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,251.13 : 4,661,956.13 = 4,661,956.13 : x
  2. Step 2: Convert to fraction form
    3,116,251.13/4,661,956.13 = 4,661,956.13/x
  3. Step 3: Cross multiply
    3,116,251.13x = 4,661,956.13 × 4,661,956.13
  4. Step 4: Simplify right side
    3,116,251.13x = 21,733,834,911,425.02
  5. Step 5: Solve for x
    x = 21,733,834,911,425.02/3,116,251.13
  6. Step 6: Final answer
    x = 6,974,352.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.