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Finding the Third Proportional to 45,970,049 and 98,914,504

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Solution

The third proportional to 45,970,049 and 98,914,504 is: 212,835,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,970,049 : 98,914,504 = 98,914,504 : x
  2. Step 2: Convert to fraction form
    45,970,049/98,914,504 = 98,914,504/x
  3. Step 3: Cross multiply
    45,970,049x = 98,914,504 × 98,914,504
  4. Step 4: Simplify right side
    45,970,049x = 9,784,079,101,566,016
  5. Step 5: Solve for x
    x = 9,784,079,101,566,016/45,970,049
  6. Step 6: Final answer
    x = 212,835,951.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.