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Finding the Third Proportional to 6,475,982 and 14,255,900

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Solution

The third proportional to 6,475,982 and 14,255,900 is: 31,382,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,982 : 14,255,900 = 14,255,900 : x
  2. Step 2: Convert to fraction form
    6,475,982/14,255,900 = 14,255,900/x
  3. Step 3: Cross multiply
    6,475,982x = 14,255,900 × 14,255,900
  4. Step 4: Simplify right side
    6,475,982x = 203,230,684,810,000
  5. Step 5: Solve for x
    x = 203,230,684,810,000/6,475,982
  6. Step 6: Final answer
    x = 31,382,218.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.