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Finding the Third Proportional to 6,164,724 and 13,306,793

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Solution

The third proportional to 6,164,724 and 13,306,793 is: 28,723,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,724 : 13,306,793 = 13,306,793 : x
  2. Step 2: Convert to fraction form
    6,164,724/13,306,793 = 13,306,793/x
  3. Step 3: Cross multiply
    6,164,724x = 13,306,793 × 13,306,793
  4. Step 4: Simplify right side
    6,164,724x = 177,070,739,944,849
  5. Step 5: Solve for x
    x = 177,070,739,944,849/6,164,724
  6. Step 6: Final answer
    x = 28,723,222.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.