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Finding the Third Proportional to 2,561,013,449.53 and 5,710,886,900.61

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Solution

The third proportional to 2,561,013,449.53 and 5,710,886,900.61 is: 12,734,891,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,013,449.53 : 5,710,886,900.61 = 5,710,886,900.61 : x
  2. Step 2: Convert to fraction form
    2,561,013,449.53/5,710,886,900.61 = 5,710,886,900.61/x
  3. Step 3: Cross multiply
    2,561,013,449.53x = 5,710,886,900.61 × 5,710,886,900.61
  4. Step 4: Simplify right side
    2,561,013,449.53x = 32,614,229,191,593,156,608
  5. Step 5: Solve for x
    x = 32,614,229,191,593,156,608/2,561,013,449.53
  6. Step 6: Final answer
    x = 12,734,891,805.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.