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Finding the Third Proportional to 4,305,776 and 10,149,920

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Solution

The third proportional to 4,305,776 and 10,149,920 is: 23,926,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,776 : 10,149,920 = 10,149,920 : x
  2. Step 2: Convert to fraction form
    4,305,776/10,149,920 = 10,149,920/x
  3. Step 3: Cross multiply
    4,305,776x = 10,149,920 × 10,149,920
  4. Step 4: Simplify right side
    4,305,776x = 103,020,876,006,400
  5. Step 5: Solve for x
    x = 103,020,876,006,400/4,305,776
  6. Step 6: Final answer
    x = 23,926,204.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.