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Finding the Third Proportional to 47,982,053 and 103,609,714

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Solution

The third proportional to 47,982,053 and 103,609,714 is: 223,728,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982,053 : 103,609,714 = 103,609,714 : x
  2. Step 2: Convert to fraction form
    47,982,053/103,609,714 = 103,609,714/x
  3. Step 3: Cross multiply
    47,982,053x = 103,609,714 × 103,609,714
  4. Step 4: Simplify right side
    47,982,053x = 10,734,972,835,161,796
  5. Step 5: Solve for x
    x = 10,734,972,835,161,796/47,982,053
  6. Step 6: Final answer
    x = 223,728,918.71

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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.