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Finding the Third Proportional to 6,823,486 and 15,011,660

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Solution

The third proportional to 6,823,486 and 15,011,660 is: 33,025,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,486 : 15,011,660 = 15,011,660 : x
  2. Step 2: Convert to fraction form
    6,823,486/15,011,660 = 15,011,660/x
  3. Step 3: Cross multiply
    6,823,486x = 15,011,660 × 15,011,660
  4. Step 4: Simplify right side
    6,823,486x = 225,349,935,955,600
  5. Step 5: Solve for x
    x = 225,349,935,955,600/6,823,486
  6. Step 6: Final answer
    x = 33,025,631.76

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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.