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Finding the Third Proportional to 4,486,650 and 9,785,324

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Solution

The third proportional to 4,486,650 and 9,785,324 is: 21,341,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,650 : 9,785,324 = 9,785,324 : x
  2. Step 2: Convert to fraction form
    4,486,650/9,785,324 = 9,785,324/x
  3. Step 3: Cross multiply
    4,486,650x = 9,785,324 × 9,785,324
  4. Step 4: Simplify right side
    4,486,650x = 95,752,565,784,976
  5. Step 5: Solve for x
    x = 95,752,565,784,976/4,486,650
  6. Step 6: Final answer
    x = 21,341,661.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.