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Finding the Third Proportional to 61,294,998 and 133,351,608

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Solution

The third proportional to 61,294,998 and 133,351,608 is: 290,115,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,294,998 : 133,351,608 = 133,351,608 : x
  2. Step 2: Convert to fraction form
    61,294,998/133,351,608 = 133,351,608/x
  3. Step 3: Cross multiply
    61,294,998x = 133,351,608 × 133,351,608
  4. Step 4: Simplify right side
    61,294,998x = 17,782,651,356,185,664
  5. Step 5: Solve for x
    x = 17,782,651,356,185,664/61,294,998
  6. Step 6: Final answer
    x = 290,115,864.86

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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.