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Finding the Third Proportional to 47,751,345 and 102,310,537

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Solution

The third proportional to 47,751,345 and 102,310,537 is: 219,207,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,345 : 102,310,537 = 102,310,537 : x
  2. Step 2: Convert to fraction form
    47,751,345/102,310,537 = 102,310,537/x
  3. Step 3: Cross multiply
    47,751,345x = 102,310,537 × 102,310,537
  4. Step 4: Simplify right side
    47,751,345x = 10,467,445,981,228,368
  5. Step 5: Solve for x
    x = 10,467,445,981,228,368/47,751,345
  6. Step 6: Final answer
    x = 219,207,353.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.