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Finding the Third Proportional to 4,195,810.13 and 9,171,618.19

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Solution

The third proportional to 4,195,810.13 and 9,171,618.19 is: 20,048,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,810.13 : 9,171,618.19 = 9,171,618.19 : x
  2. Step 2: Convert to fraction form
    4,195,810.13/9,171,618.19 = 9,171,618.19/x
  3. Step 3: Cross multiply
    4,195,810.13x = 9,171,618.19 × 9,171,618.19
  4. Step 4: Simplify right side
    4,195,810.13x = 84,118,580,177,280.78
  5. Step 5: Solve for x
    x = 84,118,580,177,280.78/4,195,810.13
  6. Step 6: Final answer
    x = 20,048,233.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.