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Finding the Third Proportional to 5,064,381 and 11,713,977

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Solution

The third proportional to 5,064,381 and 11,713,977 is: 27,094,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064,381 : 11,713,977 = 11,713,977 : x
  2. Step 2: Convert to fraction form
    5,064,381/11,713,977 = 11,713,977/x
  3. Step 3: Cross multiply
    5,064,381x = 11,713,977 × 11,713,977
  4. Step 4: Simplify right side
    5,064,381x = 137,217,257,156,529
  5. Step 5: Solve for x
    x = 137,217,257,156,529/5,064,381
  6. Step 6: Final answer
    x = 27,094,576.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.