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Finding the Third Proportional to 10,649,126 and 15,228,367

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Solution

The third proportional to 10,649,126 and 15,228,367 is: 21,776,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649,126 : 15,228,367 = 15,228,367 : x
  2. Step 2: Convert to fraction form
    10,649,126/15,228,367 = 15,228,367/x
  3. Step 3: Cross multiply
    10,649,126x = 15,228,367 × 15,228,367
  4. Step 4: Simplify right side
    10,649,126x = 231,903,161,486,689
  5. Step 5: Solve for x
    x = 231,903,161,486,689/10,649,126
  6. Step 6: Final answer
    x = 21,776,731.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.