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Finding the Third Proportional to 10,002,180 and 21,495,408

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Solution

The third proportional to 10,002,180 and 21,495,408 is: 46,195,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002,180 : 21,495,408 = 21,495,408 : x
  2. Step 2: Convert to fraction form
    10,002,180/21,495,408 = 21,495,408/x
  3. Step 3: Cross multiply
    10,002,180x = 21,495,408 × 21,495,408
  4. Step 4: Simplify right side
    10,002,180x = 462,052,565,086,464
  5. Step 5: Solve for x
    x = 462,052,565,086,464/10,002,180
  6. Step 6: Final answer
    x = 46,195,185.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.