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Finding the Third Proportional to 14,178,104 and 31,100,896

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Solution

The third proportional to 14,178,104 and 31,100,896 is: 68,222,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178,104 : 31,100,896 = 31,100,896 : x
  2. Step 2: Convert to fraction form
    14,178,104/31,100,896 = 31,100,896/x
  3. Step 3: Cross multiply
    14,178,104x = 31,100,896 × 31,100,896
  4. Step 4: Simplify right side
    14,178,104x = 967,265,732,002,816
  5. Step 5: Solve for x
    x = 967,265,732,002,816/14,178,104
  6. Step 6: Final answer
    x = 68,222,502.25

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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.