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Finding the Third Proportional to 4,287,441 and 9,196,536

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Solution

The third proportional to 4,287,441 and 9,196,536 is: 19,726,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287,441 : 9,196,536 = 9,196,536 : x
  2. Step 2: Convert to fraction form
    4,287,441/9,196,536 = 9,196,536/x
  3. Step 3: Cross multiply
    4,287,441x = 9,196,536 × 9,196,536
  4. Step 4: Simplify right side
    4,287,441x = 84,576,274,399,296
  5. Step 5: Solve for x
    x = 84,576,274,399,296/4,287,441
  6. Step 6: Final answer
    x = 19,726,516.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.