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Finding the Third Proportional to 56,603,882 and 121,280,256

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Solution

The third proportional to 56,603,882 and 121,280,256 is: 259,856,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,603,882 : 121,280,256 = 121,280,256 : x
  2. Step 2: Convert to fraction form
    56,603,882/121,280,256 = 121,280,256/x
  3. Step 3: Cross multiply
    56,603,882x = 121,280,256 × 121,280,256
  4. Step 4: Simplify right side
    56,603,882x = 14,708,900,495,425,536
  5. Step 5: Solve for x
    x = 14,708,900,495,425,536/56,603,882
  6. Step 6: Final answer
    x = 259,856,744.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.