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Finding the Third Proportional to 4,147,977 and 8,627,046

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Solution

The third proportional to 4,147,977 and 8,627,046 is: 17,942,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,977 : 8,627,046 = 8,627,046 : x
  2. Step 2: Convert to fraction form
    4,147,977/8,627,046 = 8,627,046/x
  3. Step 3: Cross multiply
    4,147,977x = 8,627,046 × 8,627,046
  4. Step 4: Simplify right side
    4,147,977x = 74,425,922,686,116
  5. Step 5: Solve for x
    x = 74,425,922,686,116/4,147,977
  6. Step 6: Final answer
    x = 17,942,703.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.