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Finding the Third Proportional to 14,184,900 and 22,464,891

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Solution

The third proportional to 14,184,900 and 22,464,891 is: 35,578,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184,900 : 22,464,891 = 22,464,891 : x
  2. Step 2: Convert to fraction form
    14,184,900/22,464,891 = 22,464,891/x
  3. Step 3: Cross multiply
    14,184,900x = 22,464,891 × 22,464,891
  4. Step 4: Simplify right side
    14,184,900x = 504,671,327,641,881
  5. Step 5: Solve for x
    x = 504,671,327,641,881/14,184,900
  6. Step 6: Final answer
    x = 35,578,067.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.