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Finding the Third Proportional to 3,492,384,606 and 5,237,294,223

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Solution

The third proportional to 3,492,384,606 and 5,237,294,223 is: 7,854,017,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492,384,606 : 5,237,294,223 = 5,237,294,223 : x
  2. Step 2: Convert to fraction form
    3,492,384,606/5,237,294,223 = 5,237,294,223/x
  3. Step 3: Cross multiply
    3,492,384,606x = 5,237,294,223 × 5,237,294,223
  4. Step 4: Simplify right side
    3,492,384,606x = 27,429,250,778,269,171,712
  5. Step 5: Solve for x
    x = 27,429,250,778,269,171,712/3,492,384,606
  6. Step 6: Final answer
    x = 7,854,017,776.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.