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Finding the Third Proportional to 6,592,709 and 13,690,696

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Solution

The third proportional to 6,592,709 and 13,690,696 is: 28,430,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592,709 : 13,690,696 = 13,690,696 : x
  2. Step 2: Convert to fraction form
    6,592,709/13,690,696 = 13,690,696/x
  3. Step 3: Cross multiply
    6,592,709x = 13,690,696 × 13,690,696
  4. Step 4: Simplify right side
    6,592,709x = 187,435,156,964,416
  5. Step 5: Solve for x
    x = 187,435,156,964,416/6,592,709
  6. Step 6: Final answer
    x = 28,430,673.49

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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.