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Finding the Third Proportional to 6,378,932 and 13,643,032

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Solution

The third proportional to 6,378,932 and 13,643,032 is: 29,179,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378,932 : 13,643,032 = 13,643,032 : x
  2. Step 2: Convert to fraction form
    6,378,932/13,643,032 = 13,643,032/x
  3. Step 3: Cross multiply
    6,378,932x = 13,643,032 × 13,643,032
  4. Step 4: Simplify right side
    6,378,932x = 186,132,322,153,024
  5. Step 5: Solve for x
    x = 186,132,322,153,024/6,378,932
  6. Step 6: Final answer
    x = 29,179,229.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.