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Finding the Third Proportional to 32,253,488.72 and 69,641,780.06

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Solution

The third proportional to 32,253,488.72 and 69,641,780.06 is: 150,370,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,253,488.72 : 69,641,780.06 = 69,641,780.06 : x
  2. Step 2: Convert to fraction form
    32,253,488.72/69,641,780.06 = 69,641,780.06/x
  3. Step 3: Cross multiply
    32,253,488.72x = 69,641,780.06 × 69,641,780.06
  4. Step 4: Simplify right side
    32,253,488.72x = 4,849,977,530,273,623
  5. Step 5: Solve for x
    x = 4,849,977,530,273,623/32,253,488.72
  6. Step 6: Final answer
    x = 150,370,633.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.