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Finding the Third Proportional to 3,705,324.75 and 5,557,987.13

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Solution

The third proportional to 3,705,324.75 and 5,557,987.13 is: 8,336,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705,324.75 : 5,557,987.13 = 5,557,987.13 : x
  2. Step 2: Convert to fraction form
    3,705,324.75/5,557,987.13 = 5,557,987.13/x
  3. Step 3: Cross multiply
    3,705,324.75x = 5,557,987.13 × 5,557,987.13
  4. Step 4: Simplify right side
    3,705,324.75x = 30,891,220,881,665.77
  5. Step 5: Solve for x
    x = 30,891,220,881,665.77/3,705,324.75
  6. Step 6: Final answer
    x = 8,336,980.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.