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Finding the Third Proportional to 9,644,409 and 14,692,721

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Solution

The third proportional to 9,644,409 and 14,692,721 is: 22,383,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644,409 : 14,692,721 = 14,692,721 : x
  2. Step 2: Convert to fraction form
    9,644,409/14,692,721 = 14,692,721/x
  3. Step 3: Cross multiply
    9,644,409x = 14,692,721 × 14,692,721
  4. Step 4: Simplify right side
    9,644,409x = 215,876,050,383,841
  5. Step 5: Solve for x
    x = 215,876,050,383,841/9,644,409
  6. Step 6: Final answer
    x = 22,383,543.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.