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Finding the Third Proportional to 10,497,872 and 15,011,974

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Solution

The third proportional to 10,497,872 and 15,011,974 is: 21,467,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497,872 : 15,011,974 = 15,011,974 : x
  2. Step 2: Convert to fraction form
    10,497,872/15,011,974 = 15,011,974/x
  3. Step 3: Cross multiply
    10,497,872x = 15,011,974 × 15,011,974
  4. Step 4: Simplify right side
    10,497,872x = 225,359,363,376,676
  5. Step 5: Solve for x
    x = 225,359,363,376,676/10,497,872
  6. Step 6: Final answer
    x = 21,467,147.19

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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.