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Finding the Third Proportional to 2,192,324,294 and 5,173,492,941

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Solution

The third proportional to 2,192,324,294 and 5,173,492,941 is: 12,208,517,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,324,294 : 5,173,492,941 = 5,173,492,941 : x
  2. Step 2: Convert to fraction form
    2,192,324,294/5,173,492,941 = 5,173,492,941/x
  3. Step 3: Cross multiply
    2,192,324,294x = 5,173,492,941 × 5,173,492,941
  4. Step 4: Simplify right side
    2,192,324,294x = 26,765,029,210,576,830,464
  5. Step 5: Solve for x
    x = 26,765,029,210,576,830,464/2,192,324,294
  6. Step 6: Final answer
    x = 12,208,517,363.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.