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Finding the Third Proportional to 14,199,123 and 31,084,935

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Solution

The third proportional to 14,199,123 and 31,084,935 is: 68,051,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199,123 : 31,084,935 = 31,084,935 : x
  2. Step 2: Convert to fraction form
    14,199,123/31,084,935 = 31,084,935/x
  3. Step 3: Cross multiply
    14,199,123x = 31,084,935 × 31,084,935
  4. Step 4: Simplify right side
    14,199,123x = 966,273,183,954,225
  5. Step 5: Solve for x
    x = 966,273,183,954,225/14,199,123
  6. Step 6: Final answer
    x = 68,051,610.23

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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.