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Finding the Third Proportional to 1,196,597,777 and 1,838,120,696

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Solution

The third proportional to 1,196,597,777 and 1,838,120,696 is: 2,823,578,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,597,777 : 1,838,120,696 = 1,838,120,696 : x
  2. Step 2: Convert to fraction form
    1,196,597,777/1,838,120,696 = 1,838,120,696/x
  3. Step 3: Cross multiply
    1,196,597,777x = 1,838,120,696 × 1,838,120,696
  4. Step 4: Simplify right side
    1,196,597,777x = 3,378,687,693,063,524,352
  5. Step 5: Solve for x
    x = 3,378,687,693,063,524,352/1,196,597,777
  6. Step 6: Final answer
    x = 2,823,578,447.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.