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Finding the Third Proportional to 10,437,649 and 15,343,661

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Solution

The third proportional to 10,437,649 and 15,343,661 is: 22,555,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437,649 : 15,343,661 = 15,343,661 : x
  2. Step 2: Convert to fraction form
    10,437,649/15,343,661 = 15,343,661/x
  3. Step 3: Cross multiply
    10,437,649x = 15,343,661 × 15,343,661
  4. Step 4: Simplify right side
    10,437,649x = 235,427,932,882,921
  5. Step 5: Solve for x
    x = 235,427,932,882,921/10,437,649
  6. Step 6: Final answer
    x = 22,555,647.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.