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Finding the Third Proportional to 4,375,044.75 and 6,847,525.13

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Solution

The third proportional to 4,375,044.75 and 6,847,525.13 is: 10,717,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375,044.75 : 6,847,525.13 = 6,847,525.13 : x
  2. Step 2: Convert to fraction form
    4,375,044.75/6,847,525.13 = 6,847,525.13/x
  3. Step 3: Cross multiply
    4,375,044.75x = 6,847,525.13 × 6,847,525.13
  4. Step 4: Simplify right side
    4,375,044.75x = 46,888,600,337,506.27
  5. Step 5: Solve for x
    x = 46,888,600,337,506.27/4,375,044.75
  6. Step 6: Final answer
    x = 10,717,284.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.