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Finding the Third Proportional to 7,982,834.06 and 17,476,952.63

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Solution

The third proportional to 7,982,834.06 and 17,476,952.63 is: 38,262,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982,834.06 : 17,476,952.63 = 17,476,952.63 : x
  2. Step 2: Convert to fraction form
    7,982,834.06/17,476,952.63 = 17,476,952.63/x
  3. Step 3: Cross multiply
    7,982,834.06x = 17,476,952.63 × 17,476,952.63
  4. Step 4: Simplify right side
    7,982,834.06x = 305,443,873,056,494.38
  5. Step 5: Solve for x
    x = 305,443,873,056,494.38/7,982,834.06
  6. Step 6: Final answer
    x = 38,262,585.78

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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.