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Finding the Third Proportional to 34,744,422 and 75,208,092

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Solution

The third proportional to 34,744,422 and 75,208,092 is: 162,796,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,744,422 : 75,208,092 = 75,208,092 : x
  2. Step 2: Convert to fraction form
    34,744,422/75,208,092 = 75,208,092/x
  3. Step 3: Cross multiply
    34,744,422x = 75,208,092 × 75,208,092
  4. Step 4: Simplify right side
    34,744,422x = 5,656,257,102,280,464
  5. Step 5: Solve for x
    x = 5,656,257,102,280,464/34,744,422
  6. Step 6: Final answer
    x = 162,796,120.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.