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Finding the Third Proportional to 3,823,348 and 8,266,148

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Solution

The third proportional to 3,823,348 and 8,266,148 is: 17,871,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823,348 : 8,266,148 = 8,266,148 : x
  2. Step 2: Convert to fraction form
    3,823,348/8,266,148 = 8,266,148/x
  3. Step 3: Cross multiply
    3,823,348x = 8,266,148 × 8,266,148
  4. Step 4: Simplify right side
    3,823,348x = 68,329,202,757,904
  5. Step 5: Solve for x
    x = 68,329,202,757,904/3,823,348
  6. Step 6: Final answer
    x = 17,871,562.50

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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.