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Finding the Third Proportional to 11,069,869 and 24,021,398

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Solution

The third proportional to 11,069,869 and 24,021,398 is: 52,125,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069,869 : 24,021,398 = 24,021,398 : x
  2. Step 2: Convert to fraction form
    11,069,869/24,021,398 = 24,021,398/x
  3. Step 3: Cross multiply
    11,069,869x = 24,021,398 × 24,021,398
  4. Step 4: Simplify right side
    11,069,869x = 577,027,561,874,404
  5. Step 5: Solve for x
    x = 577,027,561,874,404/11,069,869
  6. Step 6: Final answer
    x = 52,125,961.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.