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Finding the Third Proportional to 6,475,972 and 14,255,882

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Solution

The third proportional to 6,475,972 and 14,255,882 is: 31,382,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,972 : 14,255,882 = 14,255,882 : x
  2. Step 2: Convert to fraction form
    6,475,972/14,255,882 = 14,255,882/x
  3. Step 3: Cross multiply
    6,475,972x = 14,255,882 × 14,255,882
  4. Step 4: Simplify right side
    6,475,972x = 203,230,171,597,924
  5. Step 5: Solve for x
    x = 203,230,171,597,924/6,475,972
  6. Step 6: Final answer
    x = 31,382,188.13

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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.