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Finding the Third Proportional to 61,294,968 and 133,351,548

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Solution

The third proportional to 61,294,968 and 133,351,548 is: 290,115,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,294,968 : 133,351,548 = 133,351,548 : x
  2. Step 2: Convert to fraction form
    61,294,968/133,351,548 = 133,351,548/x
  3. Step 3: Cross multiply
    61,294,968x = 133,351,548 × 133,351,548
  4. Step 4: Simplify right side
    61,294,968x = 17,782,635,353,996,304
  5. Step 5: Solve for x
    x = 17,782,635,353,996,304/61,294,968
  6. Step 6: Final answer
    x = 290,115,745.78

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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.