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Finding the Third Proportional to 8,063,184 and 17,543,538

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Solution

The third proportional to 8,063,184 and 17,543,538 is: 38,170,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063,184 : 17,543,538 = 17,543,538 : x
  2. Step 2: Convert to fraction form
    8,063,184/17,543,538 = 17,543,538/x
  3. Step 3: Cross multiply
    8,063,184x = 17,543,538 × 17,543,538
  4. Step 4: Simplify right side
    8,063,184x = 307,775,725,557,444
  5. Step 5: Solve for x
    x = 307,775,725,557,444/8,063,184
  6. Step 6: Final answer
    x = 38,170,495.12

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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.