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Finding the Third Proportional to 5,986,175.91 and 9,128,727.84

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Solution

The third proportional to 5,986,175.91 and 9,128,727.84 is: 13,921,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986,175.91 : 9,128,727.84 = 9,128,727.84 : x
  2. Step 2: Convert to fraction form
    5,986,175.91/9,128,727.84 = 9,128,727.84/x
  3. Step 3: Cross multiply
    5,986,175.91x = 9,128,727.84 × 9,128,727.84
  4. Step 4: Simplify right side
    5,986,175.91x = 83,333,672,045,256.53
  5. Step 5: Solve for x
    x = 83,333,672,045,256.53/5,986,175.91
  6. Step 6: Final answer
    x = 13,921,019.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.