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Finding the Third Proportional to 2,220,663,288 and 4,937,835,193

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Solution

The third proportional to 2,220,663,288 and 4,937,835,193 is: 10,979,699,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,663,288 : 4,937,835,193 = 4,937,835,193 : x
  2. Step 2: Convert to fraction form
    2,220,663,288/4,937,835,193 = 4,937,835,193/x
  3. Step 3: Cross multiply
    2,220,663,288x = 4,937,835,193 × 4,937,835,193
  4. Step 4: Simplify right side
    2,220,663,288x = 24,382,216,393,229,348,864
  5. Step 5: Solve for x
    x = 24,382,216,393,229,348,864/2,220,663,288
  6. Step 6: Final answer
    x = 10,979,699,860.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.