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Finding the Third Proportional to 10,186,408.13 and 15,899,626.69

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Solution

The third proportional to 10,186,408.13 and 15,899,626.69 is: 24,817,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186,408.13 : 15,899,626.69 = 15,899,626.69 : x
  2. Step 2: Convert to fraction form
    10,186,408.13/15,899,626.69 = 15,899,626.69/x
  3. Step 3: Cross multiply
    10,186,408.13x = 15,899,626.69 × 15,899,626.69
  4. Step 4: Simplify right side
    10,186,408.13x = 252,798,128,801,862.22
  5. Step 5: Solve for x
    x = 252,798,128,801,862.22/10,186,408.13
  6. Step 6: Final answer
    x = 24,817,200.11

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.