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Finding the Third Proportional to 3,211,924 and 7,132,424

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Solution

The third proportional to 3,211,924 and 7,132,424 is: 15,838,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,924 : 7,132,424 = 7,132,424 : x
  2. Step 2: Convert to fraction form
    3,211,924/7,132,424 = 7,132,424/x
  3. Step 3: Cross multiply
    3,211,924x = 7,132,424 × 7,132,424
  4. Step 4: Simplify right side
    3,211,924x = 50,871,472,115,776
  5. Step 5: Solve for x
    x = 50,871,472,115,776/3,211,924
  6. Step 6: Final answer
    x = 15,838,317.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.