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Finding the Third Proportional to 2,372,306,092 and 4,940,965,780

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Solution

The third proportional to 2,372,306,092 and 4,940,965,780 is: 10,290,890,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372,306,092 : 4,940,965,780 = 4,940,965,780 : x
  2. Step 2: Convert to fraction form
    2,372,306,092/4,940,965,780 = 4,940,965,780/x
  3. Step 3: Cross multiply
    2,372,306,092x = 4,940,965,780 × 4,940,965,780
  4. Step 4: Simplify right side
    2,372,306,092x = 24,413,142,839,131,009,024
  5. Step 5: Solve for x
    x = 24,413,142,839,131,009,024/2,372,306,092
  6. Step 6: Final answer
    x = 10,290,890,758.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.