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Finding the Third Proportional to 5,835,098.25 and 9,375,441.19

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Solution

The third proportional to 5,835,098.25 and 9,375,441.19 is: 15,063,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835,098.25 : 9,375,441.19 = 9,375,441.19 : x
  2. Step 2: Convert to fraction form
    5,835,098.25/9,375,441.19 = 9,375,441.19/x
  3. Step 3: Cross multiply
    5,835,098.25x = 9,375,441.19 × 9,375,441.19
  4. Step 4: Simplify right side
    5,835,098.25x = 87,898,897,460,271.41
  5. Step 5: Solve for x
    x = 87,898,897,460,271.41/5,835,098.25
  6. Step 6: Final answer
    x = 15,063,824.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.