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Finding the Third Proportional to 4,108,047 and 8,865,634

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Solution

The third proportional to 4,108,047 and 8,865,634 is: 19,133,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108,047 : 8,865,634 = 8,865,634 : x
  2. Step 2: Convert to fraction form
    4,108,047/8,865,634 = 8,865,634/x
  3. Step 3: Cross multiply
    4,108,047x = 8,865,634 × 8,865,634
  4. Step 4: Simplify right side
    4,108,047x = 78,599,466,221,956
  5. Step 5: Solve for x
    x = 78,599,466,221,956/4,108,047
  6. Step 6: Final answer
    x = 19,133,049.41

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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.