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Finding the Third Proportional to 14,178,114 and 31,100,916

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Solution

The third proportional to 14,178,114 and 31,100,916 is: 68,222,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178,114 : 31,100,916 = 31,100,916 : x
  2. Step 2: Convert to fraction form
    14,178,114/31,100,916 = 31,100,916/x
  3. Step 3: Cross multiply
    14,178,114x = 31,100,916 × 31,100,916
  4. Step 4: Simplify right side
    14,178,114x = 967,266,976,039,056
  5. Step 5: Solve for x
    x = 967,266,976,039,056/14,178,114
  6. Step 6: Final answer
    x = 68,222,541.87

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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.