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Finding the Third Proportional to 2,561,013,570 and 5,710,887,140

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Solution

The third proportional to 2,561,013,570 and 5,710,887,140 is: 12,734,892,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,013,570 : 5,710,887,140 = 5,710,887,140 : x
  2. Step 2: Convert to fraction form
    2,561,013,570/5,710,887,140 = 5,710,887,140/x
  3. Step 3: Cross multiply
    2,561,013,570x = 5,710,887,140 × 5,710,887,140
  4. Step 4: Simplify right side
    2,561,013,570x = 32,614,231,925,817,380,864
  5. Step 5: Solve for x
    x = 32,614,231,925,817,380,864/2,561,013,570
  6. Step 6: Final answer
    x = 12,734,892,273.85

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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.