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Finding the Third Proportional to 7,229,422 and 15,649,040

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Solution

The third proportional to 7,229,422 and 15,649,040 is: 33,874,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229,422 : 15,649,040 = 15,649,040 : x
  2. Step 2: Convert to fraction form
    7,229,422/15,649,040 = 15,649,040/x
  3. Step 3: Cross multiply
    7,229,422x = 15,649,040 × 15,649,040
  4. Step 4: Simplify right side
    7,229,422x = 244,892,452,921,600
  5. Step 5: Solve for x
    x = 244,892,452,921,600/7,229,422
  6. Step 6: Final answer
    x = 33,874,416.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.