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Finding the Third Proportional to 6,498,864 and 14,082,480

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Solution

The third proportional to 6,498,864 and 14,082,480 is: 30,515,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,864 : 14,082,480 = 14,082,480 : x
  2. Step 2: Convert to fraction form
    6,498,864/14,082,480 = 14,082,480/x
  3. Step 3: Cross multiply
    6,498,864x = 14,082,480 × 14,082,480
  4. Step 4: Simplify right side
    6,498,864x = 198,316,242,950,400
  5. Step 5: Solve for x
    x = 198,316,242,950,400/6,498,864
  6. Step 6: Final answer
    x = 30,515,524.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.