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Finding the Third Proportional to 1,793,561,829 and 2,524,629,682

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Solution

The third proportional to 1,793,561,829 and 2,524,629,682 is: 3,553,685,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793,561,829 : 2,524,629,682 = 2,524,629,682 : x
  2. Step 2: Convert to fraction form
    1,793,561,829/2,524,629,682 = 2,524,629,682/x
  3. Step 3: Cross multiply
    1,793,561,829x = 2,524,629,682 × 2,524,629,682
  4. Step 4: Simplify right side
    1,793,561,829x = 6,373,755,031,235,421,184
  5. Step 5: Solve for x
    x = 6,373,755,031,235,421,184/1,793,561,829
  6. Step 6: Final answer
    x = 3,553,685,704.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.