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Finding the Third Proportional to 9,957,009 and 15,377,759

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Solution

The third proportional to 9,957,009 and 15,377,759 is: 23,749,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957,009 : 15,377,759 = 15,377,759 : x
  2. Step 2: Convert to fraction form
    9,957,009/15,377,759 = 15,377,759/x
  3. Step 3: Cross multiply
    9,957,009x = 15,377,759 × 15,377,759
  4. Step 4: Simplify right side
    9,957,009x = 236,475,471,862,081
  5. Step 5: Solve for x
    x = 236,475,471,862,081/9,957,009
  6. Step 6: Final answer
    x = 23,749,649.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.