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Finding the Third Proportional to 4,514,035.50 and 9,764,340.75

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Solution

The third proportional to 4,514,035.50 and 9,764,340.75 is: 21,121,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514,035.50 : 9,764,340.75 = 9,764,340.75 : x
  2. Step 2: Convert to fraction form
    4,514,035.50/9,764,340.75 = 9,764,340.75/x
  3. Step 3: Cross multiply
    4,514,035.50x = 9,764,340.75 × 9,764,340.75
  4. Step 4: Simplify right side
    4,514,035.50x = 95,342,350,282,110.56
  5. Step 5: Solve for x
    x = 95,342,350,282,110.56/4,514,035.50
  6. Step 6: Final answer
    x = 21,121,311.58

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Why These Related Problems?

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