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Finding the Third Proportional to 6,897,340 and 16,258,949

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Solution

The third proportional to 6,897,340 and 16,258,949 is: 38,326,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897,340 : 16,258,949 = 16,258,949 : x
  2. Step 2: Convert to fraction form
    6,897,340/16,258,949 = 16,258,949/x
  3. Step 3: Cross multiply
    6,897,340x = 16,258,949 × 16,258,949
  4. Step 4: Simplify right side
    6,897,340x = 264,353,422,584,601
  5. Step 5: Solve for x
    x = 264,353,422,584,601/6,897,340
  6. Step 6: Final answer
    x = 38,326,865.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.