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Finding the Third Proportional to 12,842,372,253 and 19,647,391,639.50

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Solution

The third proportional to 12,842,372,253 and 19,647,391,639.50 is: 30,058,309,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842,372,253 : 19,647,391,639.50 = 19,647,391,639.50 : x
  2. Step 2: Convert to fraction form
    12,842,372,253/19,647,391,639.50 = 19,647,391,639.50/x
  3. Step 3: Cross multiply
    12,842,372,253x = 19,647,391,639.50 × 19,647,391,639.50
  4. Step 4: Simplify right side
    12,842,372,253x = 386,019,998,235,894,480,896
  5. Step 5: Solve for x
    x = 386,019,998,235,894,480,896/12,842,372,253
  6. Step 6: Final answer
    x = 30,058,309,370.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.