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Finding the Third Proportional to 274,514,997 and 418,204,624.50

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Solution

The third proportional to 274,514,997 and 418,204,624.50 is: 637,105,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,514,997 : 418,204,624.50 = 418,204,624.50 : x
  2. Step 2: Convert to fraction form
    274,514,997/418,204,624.50 = 418,204,624.50/x
  3. Step 3: Cross multiply
    274,514,997x = 418,204,624.50 × 418,204,624.50
  4. Step 4: Simplify right side
    274,514,997x = 174,895,107,953,186,016
  5. Step 5: Solve for x
    x = 174,895,107,953,186,016/274,514,997
  6. Step 6: Final answer
    x = 637,105,840.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.