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Finding the Third Proportional to 1,105,851,208 and 2,375,813,762

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Solution

The third proportional to 1,105,851,208 and 2,375,813,762 is: 5,104,204,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,851,208 : 2,375,813,762 = 2,375,813,762 : x
  2. Step 2: Convert to fraction form
    1,105,851,208/2,375,813,762 = 2,375,813,762/x
  3. Step 3: Cross multiply
    1,105,851,208x = 2,375,813,762 × 2,375,813,762
  4. Step 4: Simplify right side
    1,105,851,208x = 5,644,491,031,708,593,152
  5. Step 5: Solve for x
    x = 5,644,491,031,708,593,152/1,105,851,208
  6. Step 6: Final answer
    x = 5,104,204,788.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.