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Finding the Third Proportional to 8,179,380.83 and 17,721,941.23

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Solution

The third proportional to 8,179,380.83 and 17,721,941.23 is: 38,397,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179,380.83 : 17,721,941.23 = 17,721,941.23 : x
  2. Step 2: Convert to fraction form
    8,179,380.83/17,721,941.23 = 17,721,941.23/x
  3. Step 3: Cross multiply
    8,179,380.83x = 17,721,941.23 × 17,721,941.23
  4. Step 4: Simplify right side
    8,179,380.83x = 314,067,201,097,308.81
  5. Step 5: Solve for x
    x = 314,067,201,097,308.81/8,179,380.83
  6. Step 6: Final answer
    x = 38,397,429.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.