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Finding the Third Proportional to 6,483,564 and 13,972,662

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Solution

The third proportional to 6,483,564 and 13,972,662 is: 30,112,339.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483,564 : 13,972,662 = 13,972,662 : x
  2. Step 2: Convert to fraction form
    6,483,564/13,972,662 = 13,972,662/x
  3. Step 3: Cross multiply
    6,483,564x = 13,972,662 × 13,972,662
  4. Step 4: Simplify right side
    6,483,564x = 195,235,283,366,244
  5. Step 5: Solve for x
    x = 195,235,283,366,244/6,483,564
  6. Step 6: Final answer
    x = 30,112,339.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.