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Finding the Third Proportional to 6,592,706 and 13,690,689

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Solution

The third proportional to 6,592,706 and 13,690,689 is: 28,430,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592,706 : 13,690,689 = 13,690,689 : x
  2. Step 2: Convert to fraction form
    6,592,706/13,690,689 = 13,690,689/x
  3. Step 3: Cross multiply
    6,592,706x = 13,690,689 × 13,690,689
  4. Step 4: Simplify right side
    6,592,706x = 187,434,965,294,721
  5. Step 5: Solve for x
    x = 187,434,965,294,721/6,592,706
  6. Step 6: Final answer
    x = 28,430,657.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.