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Finding the Third Proportional to 8,200,080 and 17,944,454.25

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Solution

The third proportional to 8,200,080 and 17,944,454.25 is: 39,268,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200,080 : 17,944,454.25 = 17,944,454.25 : x
  2. Step 2: Convert to fraction form
    8,200,080/17,944,454.25 = 17,944,454.25/x
  3. Step 3: Cross multiply
    8,200,080x = 17,944,454.25 × 17,944,454.25
  4. Step 4: Simplify right side
    8,200,080x = 322,003,438,330,343.06
  5. Step 5: Solve for x
    x = 322,003,438,330,343.06/8,200,080
  6. Step 6: Final answer
    x = 39,268,328.89

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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.