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Finding the Third Proportional to 219,537,632 and 479,305,040

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Solution

The third proportional to 219,537,632 and 479,305,040 is: 1,046,441,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,537,632 : 479,305,040 = 479,305,040 : x
  2. Step 2: Convert to fraction form
    219,537,632/479,305,040 = 479,305,040/x
  3. Step 3: Cross multiply
    219,537,632x = 479,305,040 × 479,305,040
  4. Step 4: Simplify right side
    219,537,632x = 229,733,321,369,401,600
  5. Step 5: Solve for x
    x = 229,733,321,369,401,600/219,537,632
  6. Step 6: Final answer
    x = 1,046,441,647.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.