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Finding the Third Proportional to 33,948,497.25 and 69,465,802.50

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Solution

The third proportional to 33,948,497.25 and 69,465,802.50 is: 142,141,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948,497.25 : 69,465,802.50 = 69,465,802.50 : x
  2. Step 2: Convert to fraction form
    33,948,497.25/69,465,802.50 = 69,465,802.50/x
  3. Step 3: Cross multiply
    33,948,497.25x = 69,465,802.50 × 69,465,802.50
  4. Step 4: Simplify right side
    33,948,497.25x = 4,825,497,716,969,006
  5. Step 5: Solve for x
    x = 4,825,497,716,969,006/33,948,497.25
  6. Step 6: Final answer
    x = 142,141,717.83

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.