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Finding the Third Proportional to 8,324,014,783.50 and 19,423,372,361

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Solution

The third proportional to 8,324,014,783.50 and 19,423,372,361 is: 45,322,768,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324,014,783.50 : 19,423,372,361 = 19,423,372,361 : x
  2. Step 2: Convert to fraction form
    8,324,014,783.50/19,423,372,361 = 19,423,372,361/x
  3. Step 3: Cross multiply
    8,324,014,783.50x = 19,423,372,361 × 19,423,372,361
  4. Step 4: Simplify right side
    8,324,014,783.50x = 377,267,393,874,058,739,712
  5. Step 5: Solve for x
    x = 377,267,393,874,058,739,712/8,324,014,783.50
  6. Step 6: Final answer
    x = 45,322,768,361.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.