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Finding the Third Proportional to 6,553,344 and 14,366,406

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Solution

The third proportional to 6,553,344 and 14,366,406 is: 31,494,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,344 : 14,366,406 = 14,366,406 : x
  2. Step 2: Convert to fraction form
    6,553,344/14,366,406 = 14,366,406/x
  3. Step 3: Cross multiply
    6,553,344x = 14,366,406 × 14,366,406
  4. Step 4: Simplify right side
    6,553,344x = 206,393,621,356,836
  5. Step 5: Solve for x
    x = 206,393,621,356,836/6,553,344
  6. Step 6: Final answer
    x = 31,494,397.57

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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.