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Finding the Third Proportional to 6,388,735 and 13,855,412

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Solution

The third proportional to 6,388,735 and 13,855,412 is: 30,048,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388,735 : 13,855,412 = 13,855,412 : x
  2. Step 2: Convert to fraction form
    6,388,735/13,855,412 = 13,855,412/x
  3. Step 3: Cross multiply
    6,388,735x = 13,855,412 × 13,855,412
  4. Step 4: Simplify right side
    6,388,735x = 191,972,441,689,744
  5. Step 5: Solve for x
    x = 191,972,441,689,744/6,388,735
  6. Step 6: Final answer
    x = 30,048,584.22

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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.