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Finding the Third Proportional to 6,757,884 and 14,705,496

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Solution

The third proportional to 6,757,884 and 14,705,496 is: 31,999,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757,884 : 14,705,496 = 14,705,496 : x
  2. Step 2: Convert to fraction form
    6,757,884/14,705,496 = 14,705,496/x
  3. Step 3: Cross multiply
    6,757,884x = 14,705,496 × 14,705,496
  4. Step 4: Simplify right side
    6,757,884x = 216,251,612,606,016
  5. Step 5: Solve for x
    x = 216,251,612,606,016/6,757,884
  6. Step 6: Final answer
    x = 31,999,900.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.