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Finding the Third Proportional to 8,059,732.25 and 17,702,831.50

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Solution

The third proportional to 8,059,732.25 and 17,702,831.50 is: 38,883,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059,732.25 : 17,702,831.50 = 17,702,831.50 : x
  2. Step 2: Convert to fraction form
    8,059,732.25/17,702,831.50 = 17,702,831.50/x
  3. Step 3: Cross multiply
    8,059,732.25x = 17,702,831.50 × 17,702,831.50
  4. Step 4: Simplify right side
    8,059,732.25x = 313,390,243,117,392.25
  5. Step 5: Solve for x
    x = 313,390,243,117,392.25/8,059,732.25
  6. Step 6: Final answer
    x = 38,883,455.85

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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.