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Finding the Third Proportional to 1,165,753,668 and 2,525,217,856

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Solution

The third proportional to 1,165,753,668 and 2,525,217,856 is: 5,470,045,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,753,668 : 2,525,217,856 = 2,525,217,856 : x
  2. Step 2: Convert to fraction form
    1,165,753,668/2,525,217,856 = 2,525,217,856/x
  3. Step 3: Cross multiply
    1,165,753,668x = 2,525,217,856 × 2,525,217,856
  4. Step 4: Simplify right side
    1,165,753,668x = 6,376,725,220,261,236,736
  5. Step 5: Solve for x
    x = 6,376,725,220,261,236,736/1,165,753,668
  6. Step 6: Final answer
    x = 5,470,045,169.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.