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Finding the Third Proportional to 20,899,782 and 32,281,544.25

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Solution

The third proportional to 20,899,782 and 32,281,544.25 is: 49,861,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899,782 : 32,281,544.25 = 32,281,544.25 : x
  2. Step 2: Convert to fraction form
    20,899,782/32,281,544.25 = 32,281,544.25/x
  3. Step 3: Cross multiply
    20,899,782x = 32,281,544.25 × 32,281,544.25
  4. Step 4: Simplify right side
    20,899,782x = 1,042,098,099,164,708
  5. Step 5: Solve for x
    x = 1,042,098,099,164,708/20,899,782
  6. Step 6: Final answer
    x = 49,861,673.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.