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Finding the Third Proportional to 5,337,684,244 and 11,117,165,347

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Solution

The third proportional to 5,337,684,244 and 11,117,165,347 is: 23,154,491,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337,684,244 : 11,117,165,347 = 11,117,165,347 : x
  2. Step 2: Convert to fraction form
    5,337,684,244/11,117,165,347 = 11,117,165,347/x
  3. Step 3: Cross multiply
    5,337,684,244x = 11,117,165,347 × 11,117,165,347
  4. Step 4: Simplify right side
    5,337,684,244x = 123,591,365,352,537,636,864
  5. Step 5: Solve for x
    x = 123,591,365,352,537,636,864/5,337,684,244
  6. Step 6: Final answer
    x = 23,154,491,667.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.