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Finding the Third Proportional to 1,031,627,936 and 2,265,922,116

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Solution

The third proportional to 1,031,627,936 and 2,265,922,116 is: 4,976,991,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,627,936 : 2,265,922,116 = 2,265,922,116 : x
  2. Step 2: Convert to fraction form
    1,031,627,936/2,265,922,116 = 2,265,922,116/x
  3. Step 3: Cross multiply
    1,031,627,936x = 2,265,922,116 × 2,265,922,116
  4. Step 4: Simplify right side
    1,031,627,936x = 5,134,403,035,777,917,952
  5. Step 5: Solve for x
    x = 5,134,403,035,777,917,952/1,031,627,936
  6. Step 6: Final answer
    x = 4,976,991,080.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.