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Finding the Third Proportional to 3,753,051.47 and 8,194,284

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Solution

The third proportional to 3,753,051.47 and 8,194,284 is: 17,891,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753,051.47 : 8,194,284 = 8,194,284 : x
  2. Step 2: Convert to fraction form
    3,753,051.47/8,194,284 = 8,194,284/x
  3. Step 3: Cross multiply
    3,753,051.47x = 8,194,284 × 8,194,284
  4. Step 4: Simplify right side
    3,753,051.47x = 67,146,290,272,656
  5. Step 5: Solve for x
    x = 67,146,290,272,656/3,753,051.47
  6. Step 6: Final answer
    x = 17,891,118.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.