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Finding the Third Proportional to 6,553,305 and 14,366,322

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Solution

The third proportional to 6,553,305 and 14,366,322 is: 31,494,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,305 : 14,366,322 = 14,366,322 : x
  2. Step 2: Convert to fraction form
    6,553,305/14,366,322 = 14,366,322/x
  3. Step 3: Cross multiply
    6,553,305x = 14,366,322 × 14,366,322
  4. Step 4: Simplify right side
    6,553,305x = 206,391,207,807,684
  5. Step 5: Solve for x
    x = 206,391,207,807,684/6,553,305
  6. Step 6: Final answer
    x = 31,494,216.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.