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Finding the Third Proportional to 1,255,138,416 and 2,736,272,360

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Solution

The third proportional to 1,255,138,416 and 2,736,272,360 is: 5,965,227,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,138,416 : 2,736,272,360 = 2,736,272,360 : x
  2. Step 2: Convert to fraction form
    1,255,138,416/2,736,272,360 = 2,736,272,360/x
  3. Step 3: Cross multiply
    1,255,138,416x = 2,736,272,360 × 2,736,272,360
  4. Step 4: Simplify right side
    1,255,138,416x = 7,487,186,428,099,970,048
  5. Step 5: Solve for x
    x = 7,487,186,428,099,970,048/1,255,138,416
  6. Step 6: Final answer
    x = 5,965,227,685.37

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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.