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Finding the Third Proportional to 57,947,821 and 122,804,374

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Solution

The third proportional to 57,947,821 and 122,804,374 is: 260,249,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,947,821 : 122,804,374 = 122,804,374 : x
  2. Step 2: Convert to fraction form
    57,947,821/122,804,374 = 122,804,374/x
  3. Step 3: Cross multiply
    57,947,821x = 122,804,374 × 122,804,374
  4. Step 4: Simplify right side
    57,947,821x = 15,080,914,273,531,876
  5. Step 5: Solve for x
    x = 15,080,914,273,531,876/57,947,821
  6. Step 6: Final answer
    x = 260,249,894.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.