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Finding the Third Proportional to 787,271,256 and 1,691,375,688

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Solution

The third proportional to 787,271,256 and 1,691,375,688 is: 3,633,756,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,271,256 : 1,691,375,688 = 1,691,375,688 : x
  2. Step 2: Convert to fraction form
    787,271,256/1,691,375,688 = 1,691,375,688/x
  3. Step 3: Cross multiply
    787,271,256x = 1,691,375,688 × 1,691,375,688
  4. Step 4: Simplify right side
    787,271,256x = 2,860,751,717,957,473,280
  5. Step 5: Solve for x
    x = 2,860,751,717,957,473,280/787,271,256
  6. Step 6: Final answer
    x = 3,633,756,086.17

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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.