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Finding the Third Proportional to 2,578,178 and 5,529,412

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Solution

The third proportional to 2,578,178 and 5,529,412 is: 11,858,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,178 : 5,529,412 = 5,529,412 : x
  2. Step 2: Convert to fraction form
    2,578,178/5,529,412 = 5,529,412/x
  3. Step 3: Cross multiply
    2,578,178x = 5,529,412 × 5,529,412
  4. Step 4: Simplify right side
    2,578,178x = 30,574,397,065,744
  5. Step 5: Solve for x
    x = 30,574,397,065,744/2,578,178
  6. Step 6: Final answer
    x = 11,858,916.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.