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Finding the Third Proportional to 124,957,904 and 271,408,912

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Solution

The third proportional to 124,957,904 and 271,408,912 is: 589,500,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,957,904 : 271,408,912 = 271,408,912 : x
  2. Step 2: Convert to fraction form
    124,957,904/271,408,912 = 271,408,912/x
  3. Step 3: Cross multiply
    124,957,904x = 271,408,912 × 271,408,912
  4. Step 4: Simplify right side
    124,957,904x = 73,662,797,513,023,744
  5. Step 5: Solve for x
    x = 73,662,797,513,023,744/124,957,904
  6. Step 6: Final answer
    x = 589,500,905.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.