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Finding the Third Proportional to 4,064,106 and 8,957,571

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Solution

The third proportional to 4,064,106 and 8,957,571 is: 19,743,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064,106 : 8,957,571 = 8,957,571 : x
  2. Step 2: Convert to fraction form
    4,064,106/8,957,571 = 8,957,571/x
  3. Step 3: Cross multiply
    4,064,106x = 8,957,571 × 8,957,571
  4. Step 4: Simplify right side
    4,064,106x = 80,238,078,220,041
  5. Step 5: Solve for x
    x = 80,238,078,220,041/4,064,106
  6. Step 6: Final answer
    x = 19,743,106.66

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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.