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Finding the Third Proportional to 57,012,005 and 124,478,113

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Solution

The third proportional to 57,012,005 and 124,478,113 is: 271,781,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,012,005 : 124,478,113 = 124,478,113 : x
  2. Step 2: Convert to fraction form
    57,012,005/124,478,113 = 124,478,113/x
  3. Step 3: Cross multiply
    57,012,005x = 124,478,113 × 124,478,113
  4. Step 4: Simplify right side
    57,012,005x = 15,494,800,616,040,768
  5. Step 5: Solve for x
    x = 15,494,800,616,040,768/57,012,005
  6. Step 6: Final answer
    x = 271,781,366.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.