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Finding the Third Proportional to 154,868,564 and 337,048,372

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Solution

The third proportional to 154,868,564 and 337,048,372 is: 733,535,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,868,564 : 337,048,372 = 337,048,372 : x
  2. Step 2: Convert to fraction form
    154,868,564/337,048,372 = 337,048,372/x
  3. Step 3: Cross multiply
    154,868,564x = 337,048,372 × 337,048,372
  4. Step 4: Simplify right side
    154,868,564x = 113,601,605,067,850,384
  5. Step 5: Solve for x
    x = 113,601,605,067,850,384/154,868,564
  6. Step 6: Final answer
    x = 733,535,600.34

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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.