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Finding the Third Proportional to 4,177,130 and 6,646,635

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Solution

The third proportional to 4,177,130 and 6,646,635 is: 10,576,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177,130 : 6,646,635 = 6,646,635 : x
  2. Step 2: Convert to fraction form
    4,177,130/6,646,635 = 6,646,635/x
  3. Step 3: Cross multiply
    4,177,130x = 6,646,635 × 6,646,635
  4. Step 4: Simplify right side
    4,177,130x = 44,177,756,823,225
  5. Step 5: Solve for x
    x = 44,177,756,823,225/4,177,130
  6. Step 6: Final answer
    x = 10,576,102.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.