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Finding the Third Proportional to 2,561,013,568 and 5,710,887,136

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Solution

The third proportional to 2,561,013,568 and 5,710,887,136 is: 12,734,892,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,013,568 : 5,710,887,136 = 5,710,887,136 : x
  2. Step 2: Convert to fraction form
    2,561,013,568/5,710,887,136 = 5,710,887,136/x
  3. Step 3: Cross multiply
    2,561,013,568x = 5,710,887,136 × 5,710,887,136
  4. Step 4: Simplify right side
    2,561,013,568x = 32,614,231,880,130,281,472
  5. Step 5: Solve for x
    x = 32,614,231,880,130,281,472/2,561,013,568
  6. Step 6: Final answer
    x = 12,734,892,265.96

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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.