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Finding the Third Proportional to 2,715,400.13 and 5,861,494.13

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Solution

The third proportional to 2,715,400.13 and 5,861,494.13 is: 12,652,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715,400.13 : 5,861,494.13 = 5,861,494.13 : x
  2. Step 2: Convert to fraction form
    2,715,400.13/5,861,494.13 = 5,861,494.13/x
  3. Step 3: Cross multiply
    2,715,400.13x = 5,861,494.13 × 5,861,494.13
  4. Step 4: Simplify right side
    2,715,400.13x = 34,357,113,377,409.52
  5. Step 5: Solve for x
    x = 34,357,113,377,409.52/2,715,400.13
  6. Step 6: Final answer
    x = 12,652,689.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.