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Finding the Third Proportional to 12,138,098.25 and 26,007,529.13

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Solution

The third proportional to 12,138,098.25 and 26,007,529.13 is: 55,724,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138,098.25 : 26,007,529.13 = 26,007,529.13 : x
  2. Step 2: Convert to fraction form
    12,138,098.25/26,007,529.13 = 26,007,529.13/x
  3. Step 3: Cross multiply
    12,138,098.25x = 26,007,529.13 × 26,007,529.13
  4. Step 4: Simplify right side
    12,138,098.25x = 676,391,571,187,723.25
  5. Step 5: Solve for x
    x = 676,391,571,187,723.25/12,138,098.25
  6. Step 6: Final answer
    x = 55,724,674.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.