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Finding the Third Proportional to 6,137,802 and 10,229,247

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Solution

The third proportional to 6,137,802 and 10,229,247 is: 17,048,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137,802 : 10,229,247 = 10,229,247 : x
  2. Step 2: Convert to fraction form
    6,137,802/10,229,247 = 10,229,247/x
  3. Step 3: Cross multiply
    6,137,802x = 10,229,247 × 10,229,247
  4. Step 4: Simplify right side
    6,137,802x = 104,637,494,187,009
  5. Step 5: Solve for x
    x = 104,637,494,187,009/6,137,802
  6. Step 6: Final answer
    x = 17,048,040.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.