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Finding the Third Proportional to 6,269,293 and 13,771,572

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Solution

The third proportional to 6,269,293 and 13,771,572 is: 30,251,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269,293 : 13,771,572 = 13,771,572 : x
  2. Step 2: Convert to fraction form
    6,269,293/13,771,572 = 13,771,572/x
  3. Step 3: Cross multiply
    6,269,293x = 13,771,572 × 13,771,572
  4. Step 4: Simplify right side
    6,269,293x = 189,656,195,351,184
  5. Step 5: Solve for x
    x = 189,656,195,351,184/6,269,293
  6. Step 6: Final answer
    x = 30,251,608.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.