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Finding the Third Proportional to 3,513,475.13 and 8,464,105.13

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Solution

The third proportional to 3,513,475.13 and 8,464,105.13 is: 20,390,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513,475.13 : 8,464,105.13 = 8,464,105.13 : x
  2. Step 2: Convert to fraction form
    3,513,475.13/8,464,105.13 = 8,464,105.13/x
  3. Step 3: Cross multiply
    3,513,475.13x = 8,464,105.13 × 8,464,105.13
  4. Step 4: Simplify right side
    3,513,475.13x = 71,641,075,567,051.27
  5. Step 5: Solve for x
    x = 71,641,075,567,051.27/3,513,475.13
  6. Step 6: Final answer
    x = 20,390,375.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.