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Finding the Third Proportional to 11,897,409 and 16,052,415

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Solution

The third proportional to 11,897,409 and 16,052,415 is: 21,658,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897,409 : 16,052,415 = 16,052,415 : x
  2. Step 2: Convert to fraction form
    11,897,409/16,052,415 = 16,052,415/x
  3. Step 3: Cross multiply
    11,897,409x = 16,052,415 × 16,052,415
  4. Step 4: Simplify right side
    11,897,409x = 257,680,027,332,225
  5. Step 5: Solve for x
    x = 257,680,027,332,225/11,897,409
  6. Step 6: Final answer
    x = 21,658,499.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.