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Finding the Third Proportional to 3,810,749,057 and 8,254,726,672

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Solution

The third proportional to 3,810,749,057 and 8,254,726,672 is: 17,881,133,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,749,057 : 8,254,726,672 = 8,254,726,672 : x
  2. Step 2: Convert to fraction form
    3,810,749,057/8,254,726,672 = 8,254,726,672/x
  3. Step 3: Cross multiply
    3,810,749,057x = 8,254,726,672 × 8,254,726,672
  4. Step 4: Simplify right side
    3,810,749,057x = 68,140,512,429,428,195,328
  5. Step 5: Solve for x
    x = 68,140,512,429,428,195,328/3,810,749,057
  6. Step 6: Final answer
    x = 17,881,133,449.15

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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.