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Finding the Third Proportional to 241,986,784 and 371,951,016

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Solution

The third proportional to 241,986,784 and 371,951,016 is: 571,715,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,986,784 : 371,951,016 = 371,951,016 : x
  2. Step 2: Convert to fraction form
    241,986,784/371,951,016 = 371,951,016/x
  3. Step 3: Cross multiply
    241,986,784x = 371,951,016 × 371,951,016
  4. Step 4: Simplify right side
    241,986,784x = 138,347,558,303,432,256
  5. Step 5: Solve for x
    x = 138,347,558,303,432,256/241,986,784
  6. Step 6: Final answer
    x = 571,715,347.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.