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Finding the Third Proportional to 7,960,830 and 11,928,725

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Solution

The third proportional to 7,960,830 and 11,928,725 is: 17,874,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960,830 : 11,928,725 = 11,928,725 : x
  2. Step 2: Convert to fraction form
    7,960,830/11,928,725 = 11,928,725/x
  3. Step 3: Cross multiply
    7,960,830x = 11,928,725 × 11,928,725
  4. Step 4: Simplify right side
    7,960,830x = 142,294,480,125,625
  5. Step 5: Solve for x
    x = 142,294,480,125,625/7,960,830
  6. Step 6: Final answer
    x = 17,874,327.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.