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Finding the Third Proportional to 10,069,408.13 and 15,486,396.75

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Solution

The third proportional to 10,069,408.13 and 15,486,396.75 is: 23,817,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069,408.13 : 15,486,396.75 = 15,486,396.75 : x
  2. Step 2: Convert to fraction form
    10,069,408.13/15,486,396.75 = 15,486,396.75/x
  3. Step 3: Cross multiply
    10,069,408.13x = 15,486,396.75 × 15,486,396.75
  4. Step 4: Simplify right side
    10,069,408.13x = 239,828,484,298,410.56
  5. Step 5: Solve for x
    x = 239,828,484,298,410.56/10,069,408.13
  6. Step 6: Final answer
    x = 23,817,535.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.