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Finding the Third Proportional to 47,997,486 and 103,656,307

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Solution

The third proportional to 47,997,486 and 103,656,307 is: 223,858,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,486 : 103,656,307 = 103,656,307 : x
  2. Step 2: Convert to fraction form
    47,997,486/103,656,307 = 103,656,307/x
  3. Step 3: Cross multiply
    47,997,486x = 103,656,307 × 103,656,307
  4. Step 4: Simplify right side
    47,997,486x = 10,744,629,980,878,248
  5. Step 5: Solve for x
    x = 10,744,629,980,878,248/47,997,486
  6. Step 6: Final answer
    x = 223,858,182.51

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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.