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Finding the Third Proportional to 8,698,098 and 18,515,940

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Solution

The third proportional to 8,698,098 and 18,515,940 is: 39,415,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698,098 : 18,515,940 = 18,515,940 : x
  2. Step 2: Convert to fraction form
    8,698,098/18,515,940 = 18,515,940/x
  3. Step 3: Cross multiply
    8,698,098x = 18,515,940 × 18,515,940
  4. Step 4: Simplify right side
    8,698,098x = 342,840,034,083,600
  5. Step 5: Solve for x
    x = 342,840,034,083,600/8,698,098
  6. Step 6: Final answer
    x = 39,415,517.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.