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Finding the Third Proportional to 6,952,057 and 10,179,211

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Solution

The third proportional to 6,952,057 and 10,179,211 is: 14,904,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952,057 : 10,179,211 = 10,179,211 : x
  2. Step 2: Convert to fraction form
    6,952,057/10,179,211 = 10,179,211/x
  3. Step 3: Cross multiply
    6,952,057x = 10,179,211 × 10,179,211
  4. Step 4: Simplify right side
    6,952,057x = 103,616,336,582,521
  5. Step 5: Solve for x
    x = 103,616,336,582,521/6,952,057
  6. Step 6: Final answer
    x = 14,904,414.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.