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Finding the Third Proportional to 33,658,831.13 and 73,702,107.56

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Solution

The third proportional to 33,658,831.13 and 73,702,107.56 is: 161,384,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,658,831.13 : 73,702,107.56 = 73,702,107.56 : x
  2. Step 2: Convert to fraction form
    33,658,831.13/73,702,107.56 = 73,702,107.56/x
  3. Step 3: Cross multiply
    33,658,831.13x = 73,702,107.56 × 73,702,107.56
  4. Step 4: Simplify right side
    33,658,831.13x = 5,432,000,659,154,320
  5. Step 5: Solve for x
    x = 5,432,000,659,154,320/33,658,831.13
  6. Step 6: Final answer
    x = 161,384,114.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.