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Finding the Third Proportional to 12,198,541 and 17,890,301

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Solution

The third proportional to 12,198,541 and 17,890,301 is: 26,237,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198,541 : 17,890,301 = 17,890,301 : x
  2. Step 2: Convert to fraction form
    12,198,541/17,890,301 = 17,890,301/x
  3. Step 3: Cross multiply
    12,198,541x = 17,890,301 × 17,890,301
  4. Step 4: Simplify right side
    12,198,541x = 320,062,869,870,601
  5. Step 5: Solve for x
    x = 320,062,869,870,601/12,198,541
  6. Step 6: Final answer
    x = 26,237,799.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.