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Finding the Third Proportional to 14,302,176 and 31,278,108

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Solution

The third proportional to 14,302,176 and 31,278,108 is: 68,403,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302,176 : 31,278,108 = 31,278,108 : x
  2. Step 2: Convert to fraction form
    14,302,176/31,278,108 = 31,278,108/x
  3. Step 3: Cross multiply
    14,302,176x = 31,278,108 × 31,278,108
  4. Step 4: Simplify right side
    14,302,176x = 978,320,040,059,664
  5. Step 5: Solve for x
    x = 978,320,040,059,664/14,302,176
  6. Step 6: Final answer
    x = 68,403,579.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.