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Finding the Third Proportional to 1,105,851,483 and 2,375,814,312

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Solution

The third proportional to 1,105,851,483 and 2,375,814,312 is: 5,104,205,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,851,483 : 2,375,814,312 = 2,375,814,312 : x
  2. Step 2: Convert to fraction form
    1,105,851,483/2,375,814,312 = 2,375,814,312/x
  3. Step 3: Cross multiply
    1,105,851,483x = 2,375,814,312 × 2,375,814,312
  4. Step 4: Simplify right side
    1,105,851,483x = 5,644,493,645,104,033,792
  5. Step 5: Solve for x
    x = 5,644,493,645,104,033,792/1,105,851,483
  6. Step 6: Final answer
    x = 5,104,205,882.87

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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.