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Finding the Third Proportional to 1,103,309,820 and 2,400,328,656

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Solution

The third proportional to 1,103,309,820 and 2,400,328,656 is: 5,222,084,995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,309,820 : 2,400,328,656 = 2,400,328,656 : x
  2. Step 2: Convert to fraction form
    1,103,309,820/2,400,328,656 = 2,400,328,656/x
  3. Step 3: Cross multiply
    1,103,309,820x = 2,400,328,656 × 2,400,328,656
  4. Step 4: Simplify right side
    1,103,309,820x = 5,761,577,656,814,766,080
  5. Step 5: Solve for x
    x = 5,761,577,656,814,766,080/1,103,309,820
  6. Step 6: Final answer
    x = 5,222,084,995.87

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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.