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Finding the Third Proportional to 10,107,380 and 16,502,694

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Solution

The third proportional to 10,107,380 and 16,502,694 is: 26,944,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107,380 : 16,502,694 = 16,502,694 : x
  2. Step 2: Convert to fraction form
    10,107,380/16,502,694 = 16,502,694/x
  3. Step 3: Cross multiply
    10,107,380x = 16,502,694 × 16,502,694
  4. Step 4: Simplify right side
    10,107,380x = 272,338,909,257,636
  5. Step 5: Solve for x
    x = 272,338,909,257,636/10,107,380
  6. Step 6: Final answer
    x = 26,944,560.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.