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Finding the Third Proportional to 61,294,990 and 133,351,592

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Solution

The third proportional to 61,294,990 and 133,351,592 is: 290,115,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,294,990 : 133,351,592 = 133,351,592 : x
  2. Step 2: Convert to fraction form
    61,294,990/133,351,592 = 133,351,592/x
  3. Step 3: Cross multiply
    61,294,990x = 133,351,592 × 133,351,592
  4. Step 4: Simplify right side
    61,294,990x = 17,782,647,088,934,464
  5. Step 5: Solve for x
    x = 17,782,647,088,934,464/61,294,990
  6. Step 6: Final answer
    x = 290,115,833.10

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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.