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Finding the Third Proportional to 10,239,548 and 21,936,448

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Solution

The third proportional to 10,239,548 and 21,936,448 is: 46,995,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239,548 : 21,936,448 = 21,936,448 : x
  2. Step 2: Convert to fraction form
    10,239,548/21,936,448 = 21,936,448/x
  3. Step 3: Cross multiply
    10,239,548x = 21,936,448 × 21,936,448
  4. Step 4: Simplify right side
    10,239,548x = 481,207,750,856,704
  5. Step 5: Solve for x
    x = 481,207,750,856,704/10,239,548
  6. Step 6: Final answer
    x = 46,995,018.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.