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Finding the Third Proportional to 12,259,494.56 and 26,013,349.13

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Solution

The third proportional to 12,259,494.56 and 26,013,349.13 is: 55,197,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259,494.56 : 26,013,349.13 = 26,013,349.13 : x
  2. Step 2: Convert to fraction form
    12,259,494.56/26,013,349.13 = 26,013,349.13/x
  3. Step 3: Cross multiply
    12,259,494.56x = 26,013,349.13 × 26,013,349.13
  4. Step 4: Simplify right side
    12,259,494.56x = 676,694,332,699,138.25
  5. Step 5: Solve for x
    x = 676,694,332,699,138.25/12,259,494.56
  6. Step 6: Final answer
    x = 55,197,571.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.