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Finding the Third Proportional to 4,494,176 and 9,706,608

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Solution

The third proportional to 4,494,176 and 9,706,608 is: 20,964,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494,176 : 9,706,608 = 9,706,608 : x
  2. Step 2: Convert to fraction form
    4,494,176/9,706,608 = 9,706,608/x
  3. Step 3: Cross multiply
    4,494,176x = 9,706,608 × 9,706,608
  4. Step 4: Simplify right side
    4,494,176x = 94,218,238,865,664
  5. Step 5: Solve for x
    x = 94,218,238,865,664/4,494,176
  6. Step 6: Final answer
    x = 20,964,519.16

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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.