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Finding the Third Proportional to 8,101,421.25 and 17,593,743

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Solution

The third proportional to 8,101,421.25 and 17,593,743 is: 38,208,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101,421.25 : 17,593,743 = 17,593,743 : x
  2. Step 2: Convert to fraction form
    8,101,421.25/17,593,743 = 17,593,743/x
  3. Step 3: Cross multiply
    8,101,421.25x = 17,593,743 × 17,593,743
  4. Step 4: Simplify right side
    8,101,421.25x = 309,539,792,750,049
  5. Step 5: Solve for x
    x = 309,539,792,750,049/8,101,421.25
  6. Step 6: Final answer
    x = 38,208,085.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.