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Finding the Third Proportional to 43,068,642.75 and 66,199,470.75

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Solution

The third proportional to 43,068,642.75 and 66,199,470.75 is: 101,753,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,068,642.75 : 66,199,470.75 = 66,199,470.75 : x
  2. Step 2: Convert to fraction form
    43,068,642.75/66,199,470.75 = 66,199,470.75/x
  3. Step 3: Cross multiply
    43,068,642.75x = 66,199,470.75 × 66,199,470.75
  4. Step 4: Simplify right side
    43,068,642.75x = 4,382,369,927,580,105.50
  5. Step 5: Solve for x
    x = 4,382,369,927,580,105.50/43,068,642.75
  6. Step 6: Final answer
    x = 101,753,146.79

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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.