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Finding the Third Proportional to 2,309,618,396 and 5,389,295,846

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Solution

The third proportional to 2,309,618,396 and 5,389,295,846 is: 12,575,458,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,618,396 : 5,389,295,846 = 5,389,295,846 : x
  2. Step 2: Convert to fraction form
    2,309,618,396/5,389,295,846 = 5,389,295,846/x
  3. Step 3: Cross multiply
    2,309,618,396x = 5,389,295,846 × 5,389,295,846
  4. Step 4: Simplify right side
    2,309,618,396x = 29,044,509,715,712,856,064
  5. Step 5: Solve for x
    x = 29,044,509,715,712,856,064/2,309,618,396
  6. Step 6: Final answer
    x = 12,575,458,251.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.