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Finding the Third Proportional to 14,178,107 and 31,100,902

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Solution

The third proportional to 14,178,107 and 31,100,902 is: 68,222,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178,107 : 31,100,902 = 31,100,902 : x
  2. Step 2: Convert to fraction form
    14,178,107/31,100,902 = 31,100,902/x
  3. Step 3: Cross multiply
    14,178,107x = 31,100,902 × 31,100,902
  4. Step 4: Simplify right side
    14,178,107x = 967,266,105,213,604
  5. Step 5: Solve for x
    x = 967,266,105,213,604/14,178,107
  6. Step 6: Final answer
    x = 68,222,514.13

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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.