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Finding the Third Proportional to 4,669,370 and 10,224,474

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Solution

The third proportional to 4,669,370 and 10,224,474 is: 22,388,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669,370 : 10,224,474 = 10,224,474 : x
  2. Step 2: Convert to fraction form
    4,669,370/10,224,474 = 10,224,474/x
  3. Step 3: Cross multiply
    4,669,370x = 10,224,474 × 10,224,474
  4. Step 4: Simplify right side
    4,669,370x = 104,539,868,576,676
  5. Step 5: Solve for x
    x = 104,539,868,576,676/4,669,370
  6. Step 6: Final answer
    x = 22,388,431.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.