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Finding the Third Proportional to 782,739,619 and 1,677,526,049

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Solution

The third proportional to 782,739,619 and 1,677,526,049 is: 3,595,184,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,739,619 : 1,677,526,049 = 1,677,526,049 : x
  2. Step 2: Convert to fraction form
    782,739,619/1,677,526,049 = 1,677,526,049/x
  3. Step 3: Cross multiply
    782,739,619x = 1,677,526,049 × 1,677,526,049
  4. Step 4: Simplify right side
    782,739,619x = 2,814,093,645,073,550,336
  5. Step 5: Solve for x
    x = 2,814,093,645,073,550,336/782,739,619
  6. Step 6: Final answer
    x = 3,595,184,882.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.