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Finding the Third Proportional to 10,706,508 and 15,261,624

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Solution

The third proportional to 10,706,508 and 15,261,624 is: 21,754,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706,508 : 15,261,624 = 15,261,624 : x
  2. Step 2: Convert to fraction form
    10,706,508/15,261,624 = 15,261,624/x
  3. Step 3: Cross multiply
    10,706,508x = 15,261,624 × 15,261,624
  4. Step 4: Simplify right side
    10,706,508x = 232,917,167,117,376
  5. Step 5: Solve for x
    x = 232,917,167,117,376/10,706,508
  6. Step 6: Final answer
    x = 21,754,727.79

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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.