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Finding the Third Proportional to 220,845,540 and 478,496,514

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Solution

The third proportional to 220,845,540 and 478,496,514 is: 1,036,737,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,540 : 478,496,514 = 478,496,514 : x
  2. Step 2: Convert to fraction form
    220,845,540/478,496,514 = 478,496,514/x
  3. Step 3: Cross multiply
    220,845,540x = 478,496,514 × 478,496,514
  4. Step 4: Simplify right side
    220,845,540x = 228,958,913,910,152,192
  5. Step 5: Solve for x
    x = 228,958,913,910,152,192/220,845,540
  6. Step 6: Final answer
    x = 1,036,737,775.69

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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.