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Finding the Third Proportional to 782,739,605.25 and 1,677,526,021.13

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Solution

The third proportional to 782,739,605.25 and 1,677,526,021.13 is: 3,595,184,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,739,605.25 : 1,677,526,021.13 = 1,677,526,021.13 : x
  2. Step 2: Convert to fraction form
    782,739,605.25/1,677,526,021.13 = 1,677,526,021.13/x
  3. Step 3: Cross multiply
    782,739,605.25x = 1,677,526,021.13 × 1,677,526,021.13
  4. Step 4: Simplify right side
    782,739,605.25x = 2,814,093,551,551,474,176
  5. Step 5: Solve for x
    x = 2,814,093,551,551,474,176/782,739,605.25
  6. Step 6: Final answer
    x = 3,595,184,826.06

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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.