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Finding the Third Proportional to 1,080,460,800 and 2,199,105,792

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Solution

The third proportional to 1,080,460,800 and 2,199,105,792 is: 4,475,929,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,460,800 : 2,199,105,792 = 2,199,105,792 : x
  2. Step 2: Convert to fraction form
    1,080,460,800/2,199,105,792 = 2,199,105,792/x
  3. Step 3: Cross multiply
    1,080,460,800x = 2,199,105,792 × 2,199,105,792
  4. Step 4: Simplify right side
    1,080,460,800x = 4,836,066,284,407,947,264
  5. Step 5: Solve for x
    x = 4,836,066,284,407,947,264/1,080,460,800
  6. Step 6: Final answer
    x = 4,475,929,422.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.