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Finding the Third Proportional to 54,815,300 and 121,886,436

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Solution

The third proportional to 54,815,300 and 121,886,436 is: 271,024,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,815,300 : 121,886,436 = 121,886,436 : x
  2. Step 2: Convert to fraction form
    54,815,300/121,886,436 = 121,886,436/x
  3. Step 3: Cross multiply
    54,815,300x = 121,886,436 × 121,886,436
  4. Step 4: Simplify right side
    54,815,300x = 14,856,303,280,782,096
  5. Step 5: Solve for x
    x = 14,856,303,280,782,096/54,815,300
  6. Step 6: Final answer
    x = 271,024,755.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.