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Finding the Third Proportional to 47,763,945 and 103,637,286

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Solution

The third proportional to 47,763,945 and 103,637,286 is: 224,870,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,945 : 103,637,286 = 103,637,286 : x
  2. Step 2: Convert to fraction form
    47,763,945/103,637,286 = 103,637,286/x
  3. Step 3: Cross multiply
    47,763,945x = 103,637,286 × 103,637,286
  4. Step 4: Simplify right side
    47,763,945x = 10,740,687,049,445,796
  5. Step 5: Solve for x
    x = 10,740,687,049,445,796/47,763,945
  6. Step 6: Final answer
    x = 224,870,182.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.