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Finding the Third Proportional to 3,810,749,048 and 8,254,726,656

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Solution

The third proportional to 3,810,749,048 and 8,254,726,656 is: 17,881,133,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,749,048 : 8,254,726,656 = 8,254,726,656 : x
  2. Step 2: Convert to fraction form
    3,810,749,048/8,254,726,656 = 8,254,726,656/x
  3. Step 3: Cross multiply
    3,810,749,048x = 8,254,726,656 × 8,254,726,656
  4. Step 4: Simplify right side
    3,810,749,048x = 68,140,512,165,276,942,336
  5. Step 5: Solve for x
    x = 68,140,512,165,276,942,336/3,810,749,048
  6. Step 6: Final answer
    x = 17,881,133,422.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.