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Finding the Third Proportional to 34,065,807.75 and 74,726,824.50

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Solution

The third proportional to 34,065,807.75 and 74,726,824.50 is: 163,920,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065,807.75 : 74,726,824.50 = 74,726,824.50 : x
  2. Step 2: Convert to fraction form
    34,065,807.75/74,726,824.50 = 74,726,824.50/x
  3. Step 3: Cross multiply
    34,065,807.75x = 74,726,824.50 × 74,726,824.50
  4. Step 4: Simplify right side
    34,065,807.75x = 5,584,098,299,853,800
  5. Step 5: Solve for x
    x = 5,584,098,299,853,800/34,065,807.75
  6. Step 6: Final answer
    x = 163,920,912.75

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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.