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Finding the Third Proportional to 32,875,998.50 and 71,474,239.50

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Solution

The third proportional to 32,875,998.50 and 71,474,239.50 is: 155,388,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875,998.50 : 71,474,239.50 = 71,474,239.50 : x
  2. Step 2: Convert to fraction form
    32,875,998.50/71,474,239.50 = 71,474,239.50/x
  3. Step 3: Cross multiply
    32,875,998.50x = 71,474,239.50 × 71,474,239.50
  4. Step 4: Simplify right side
    32,875,998.50x = 5,108,566,912,103,360
  5. Step 5: Solve for x
    x = 5,108,566,912,103,360/32,875,998.50
  6. Step 6: Final answer
    x = 155,388,950.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.