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Finding the Third Proportional to 274,373,930,911 and 594,340,318,129

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Solution

The third proportional to 274,373,930,911 and 594,340,318,129 is: 1,287,441,604,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,373,930,911 : 594,340,318,129 = 594,340,318,129 : x
  2. Step 2: Convert to fraction form
    274,373,930,911/594,340,318,129 = 594,340,318,129/x
  3. Step 3: Cross multiply
    274,373,930,911x = 594,340,318,129 × 594,340,318,129
  4. Step 4: Simplify right side
    274,373,930,911x = 353,240,413,753,680,917,954,560
  5. Step 5: Solve for x
    x = 353,240,413,753,680,917,954,560/274,373,930,911
  6. Step 6: Final answer
    x = 1,287,441,604,167.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.