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Finding the Third Proportional to 74,338,977 and 159,439,362

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Solution

The third proportional to 74,338,977 and 159,439,362 is: 341,959,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,338,977 : 159,439,362 = 159,439,362 : x
  2. Step 2: Convert to fraction form
    74,338,977/159,439,362 = 159,439,362/x
  3. Step 3: Cross multiply
    74,338,977x = 159,439,362 × 159,439,362
  4. Step 4: Simplify right side
    74,338,977x = 25,420,910,154,967,044
  5. Step 5: Solve for x
    x = 25,420,910,154,967,044/74,338,977
  6. Step 6: Final answer
    x = 341,959,375.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.