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Finding the Third Proportional to 10,299,395.25 and 15,581,649.38

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Solution

The third proportional to 10,299,395.25 and 15,581,649.38 is: 23,573,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299,395.25 : 15,581,649.38 = 15,581,649.38 : x
  2. Step 2: Convert to fraction form
    10,299,395.25/15,581,649.38 = 15,581,649.38/x
  3. Step 3: Cross multiply
    10,299,395.25x = 15,581,649.38 × 15,581,649.38
  4. Step 4: Simplify right side
    10,299,395.25x = 242,787,797,245,437.88
  5. Step 5: Solve for x
    x = 242,787,797,245,437.88/10,299,395.25
  6. Step 6: Final answer
    x = 23,573,014.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.