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Finding the Third Proportional to 14,761,584 and 20,778,480

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Solution

The third proportional to 14,761,584 and 20,778,480 is: 29,247,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761,584 : 20,778,480 = 20,778,480 : x
  2. Step 2: Convert to fraction form
    14,761,584/20,778,480 = 20,778,480/x
  3. Step 3: Cross multiply
    14,761,584x = 20,778,480 × 20,778,480
  4. Step 4: Simplify right side
    14,761,584x = 431,745,231,110,400
  5. Step 5: Solve for x
    x = 431,745,231,110,400/14,761,584
  6. Step 6: Final answer
    x = 29,247,893.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.