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Finding the Third Proportional to 8,059,743.75 and 17,702,851.50

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Solution

The third proportional to 8,059,743.75 and 17,702,851.50 is: 38,883,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059,743.75 : 17,702,851.50 = 17,702,851.50 : x
  2. Step 2: Convert to fraction form
    8,059,743.75/17,702,851.50 = 17,702,851.50/x
  3. Step 3: Cross multiply
    8,059,743.75x = 17,702,851.50 × 17,702,851.50
  4. Step 4: Simplify right side
    8,059,743.75x = 313,390,951,231,052.25
  5. Step 5: Solve for x
    x = 313,390,951,231,052.25/8,059,743.75
  6. Step 6: Final answer
    x = 38,883,488.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.