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Finding the Third Proportional to 74,184,660 and 159,338,664

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Solution

The third proportional to 74,184,660 and 159,338,664 is: 342,238,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,184,660 : 159,338,664 = 159,338,664 : x
  2. Step 2: Convert to fraction form
    74,184,660/159,338,664 = 159,338,664/x
  3. Step 3: Cross multiply
    74,184,660x = 159,338,664 × 159,338,664
  4. Step 4: Simplify right side
    74,184,660x = 25,388,809,845,304,896
  5. Step 5: Solve for x
    x = 25,388,809,845,304,896/74,184,660
  6. Step 6: Final answer
    x = 342,238,002.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.