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Finding the Third Proportional to 11,480,560 and 24,787,408

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Solution

The third proportional to 11,480,560 and 24,787,408 is: 53,517,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480,560 : 24,787,408 = 24,787,408 : x
  2. Step 2: Convert to fraction form
    11,480,560/24,787,408 = 24,787,408/x
  3. Step 3: Cross multiply
    11,480,560x = 24,787,408 × 24,787,408
  4. Step 4: Simplify right side
    11,480,560x = 614,415,595,358,464
  5. Step 5: Solve for x
    x = 614,415,595,358,464/11,480,560
  6. Step 6: Final answer
    x = 53,517,911.61

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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.