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Finding the Third Proportional to 46,976,018 and 103,189,924

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Solution

The third proportional to 46,976,018 and 103,189,924 is: 226,672,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976,018 : 103,189,924 = 103,189,924 : x
  2. Step 2: Convert to fraction form
    46,976,018/103,189,924 = 103,189,924/x
  3. Step 3: Cross multiply
    46,976,018x = 103,189,924 × 103,189,924
  4. Step 4: Simplify right side
    46,976,018x = 10,648,160,415,125,776
  5. Step 5: Solve for x
    x = 10,648,160,415,125,776/46,976,018
  6. Step 6: Final answer
    x = 226,672,265.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.