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Finding the Third Proportional to 8,549,074.13 and 17,446,701.38

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Solution

The third proportional to 8,549,074.13 and 17,446,701.38 is: 35,604,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549,074.13 : 17,446,701.38 = 17,446,701.38 : x
  2. Step 2: Convert to fraction form
    8,549,074.13/17,446,701.38 = 17,446,701.38/x
  3. Step 3: Cross multiply
    8,549,074.13x = 17,446,701.38 × 17,446,701.38
  4. Step 4: Simplify right side
    8,549,074.13x = 304,387,388,868,426.88
  5. Step 5: Solve for x
    x = 304,387,388,868,426.88/8,549,074.13
  6. Step 6: Final answer
    x = 35,604,719.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.