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Finding the Third Proportional to 2,561,013,549 and 5,710,887,099

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Solution

The third proportional to 2,561,013,549 and 5,710,887,099 is: 12,734,892,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,013,549 : 5,710,887,099 = 5,710,887,099 : x
  2. Step 2: Convert to fraction form
    2,561,013,549/5,710,887,099 = 5,710,887,099/x
  3. Step 3: Cross multiply
    2,561,013,549x = 5,710,887,099 × 5,710,887,099
  4. Step 4: Simplify right side
    2,561,013,549x = 32,614,231,457,524,637,696
  5. Step 5: Solve for x
    x = 32,614,231,457,524,637,696/2,561,013,549
  6. Step 6: Final answer
    x = 12,734,892,195.42

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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.