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Finding the Third Proportional to 2,796,068 and 6,049,138

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Solution

The third proportional to 2,796,068 and 6,049,138 is: 13,086,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796,068 : 6,049,138 = 6,049,138 : x
  2. Step 2: Convert to fraction form
    2,796,068/6,049,138 = 6,049,138/x
  3. Step 3: Cross multiply
    2,796,068x = 6,049,138 × 6,049,138
  4. Step 4: Simplify right side
    2,796,068x = 36,592,070,543,044
  5. Step 5: Solve for x
    x = 36,592,070,543,044/2,796,068
  6. Step 6: Final answer
    x = 13,086,974.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.