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Finding the Third Proportional to 3,810,749,041 and 8,254,726,642

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Solution

The third proportional to 3,810,749,041 and 8,254,726,642 is: 17,881,133,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,749,041 : 8,254,726,642 = 8,254,726,642 : x
  2. Step 2: Convert to fraction form
    3,810,749,041/8,254,726,642 = 8,254,726,642/x
  3. Step 3: Cross multiply
    3,810,749,041x = 8,254,726,642 × 8,254,726,642
  4. Step 4: Simplify right side
    3,810,749,041x = 68,140,511,934,144,593,920
  5. Step 5: Solve for x
    x = 68,140,511,934,144,593,920/3,810,749,041
  6. Step 6: Final answer
    x = 17,881,133,394.25

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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.