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Finding the Third Proportional to 1,267,518,856 and 2,722,459,376

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Solution

The third proportional to 1,267,518,856 and 2,722,459,376 is: 5,847,475,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,518,856 : 2,722,459,376 = 2,722,459,376 : x
  2. Step 2: Convert to fraction form
    1,267,518,856/2,722,459,376 = 2,722,459,376/x
  3. Step 3: Cross multiply
    1,267,518,856x = 2,722,459,376 × 2,722,459,376
  4. Step 4: Simplify right side
    1,267,518,856x = 7,411,785,053,970,309,120
  5. Step 5: Solve for x
    x = 7,411,785,053,970,309,120/1,267,518,856
  6. Step 6: Final answer
    x = 5,847,475,182.63

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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.