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Finding the Third Proportional to 5,846,254,596 and 12,002,436,900

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Solution

The third proportional to 5,846,254,596 and 12,002,436,900 is: 24,641,159,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,254,596 : 12,002,436,900 = 12,002,436,900 : x
  2. Step 2: Convert to fraction form
    5,846,254,596/12,002,436,900 = 12,002,436,900/x
  3. Step 3: Cross multiply
    5,846,254,596x = 12,002,436,900 × 12,002,436,900
  4. Step 4: Simplify right side
    5,846,254,596x = 144,058,491,538,481,610,752
  5. Step 5: Solve for x
    x = 144,058,491,538,481,610,752/5,846,254,596
  6. Step 6: Final answer
    x = 24,641,159,424.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.