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Finding the Third Proportional to 47,997,444 and 103,656,223

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Solution

The third proportional to 47,997,444 and 103,656,223 is: 223,858,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,444 : 103,656,223 = 103,656,223 : x
  2. Step 2: Convert to fraction form
    47,997,444/103,656,223 = 103,656,223/x
  3. Step 3: Cross multiply
    47,997,444x = 103,656,223 × 103,656,223
  4. Step 4: Simplify right side
    47,997,444x = 10,744,612,566,625,728
  5. Step 5: Solve for x
    x = 10,744,612,566,625,728/47,997,444
  6. Step 6: Final answer
    x = 223,858,015.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.