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Finding the Third Proportional to 45,749,772 and 100,711,188

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Solution

The third proportional to 45,749,772 and 100,711,188 is: 221,700,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,749,772 : 100,711,188 = 100,711,188 : x
  2. Step 2: Convert to fraction form
    45,749,772/100,711,188 = 100,711,188/x
  3. Step 3: Cross multiply
    45,749,772x = 100,711,188 × 100,711,188
  4. Step 4: Simplify right side
    45,749,772x = 10,142,743,388,371,344
  5. Step 5: Solve for x
    x = 10,142,743,388,371,344/45,749,772
  6. Step 6: Final answer
    x = 221,700,413.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.