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Finding the Third Proportional to 2,625,139.13 and 5,698,431

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Solution

The third proportional to 2,625,139.13 and 5,698,431 is: 12,369,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625,139.13 : 5,698,431 = 5,698,431 : x
  2. Step 2: Convert to fraction form
    2,625,139.13/5,698,431 = 5,698,431/x
  3. Step 3: Cross multiply
    2,625,139.13x = 5,698,431 × 5,698,431
  4. Step 4: Simplify right side
    2,625,139.13x = 32,472,115,861,761
  5. Step 5: Solve for x
    x = 32,472,115,861,761/2,625,139.13
  6. Step 6: Final answer
    x = 12,369,674.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.