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Finding the Third Proportional to 260,192,753 and 568,065,240

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Solution

The third proportional to 260,192,753 and 568,065,240 is: 1,240,227,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,192,753 : 568,065,240 = 568,065,240 : x
  2. Step 2: Convert to fraction form
    260,192,753/568,065,240 = 568,065,240/x
  3. Step 3: Cross multiply
    260,192,753x = 568,065,240 × 568,065,240
  4. Step 4: Simplify right side
    260,192,753x = 322,698,116,896,257,600
  5. Step 5: Solve for x
    x = 322,698,116,896,257,600/260,192,753
  6. Step 6: Final answer
    x = 1,240,227,151.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.