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Finding the Third Proportional to 13,682,868 and 29,747,316

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Solution

The third proportional to 13,682,868 and 29,747,316 is: 64,672,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682,868 : 29,747,316 = 29,747,316 : x
  2. Step 2: Convert to fraction form
    13,682,868/29,747,316 = 29,747,316/x
  3. Step 3: Cross multiply
    13,682,868x = 29,747,316 × 29,747,316
  4. Step 4: Simplify right side
    13,682,868x = 884,902,809,203,856
  5. Step 5: Solve for x
    x = 884,902,809,203,856/13,682,868
  6. Step 6: Final answer
    x = 64,672,319.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.