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Finding the Third Proportional to 3,055,848 and 6,475,966

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Solution

The third proportional to 3,055,848 and 6,475,966 is: 13,723,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055,848 : 6,475,966 = 6,475,966 : x
  2. Step 2: Convert to fraction form
    3,055,848/6,475,966 = 6,475,966/x
  3. Step 3: Cross multiply
    3,055,848x = 6,475,966 × 6,475,966
  4. Step 4: Simplify right side
    3,055,848x = 41,938,135,633,156
  5. Step 5: Solve for x
    x = 41,938,135,633,156/3,055,848
  6. Step 6: Final answer
    x = 13,723,894.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.