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Finding the Third Proportional to 39,418,709.50 and 84,285,047

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Solution

The third proportional to 39,418,709.50 and 84,285,047 is: 180,218,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,418,709.50 : 84,285,047 = 84,285,047 : x
  2. Step 2: Convert to fraction form
    39,418,709.50/84,285,047 = 84,285,047/x
  3. Step 3: Cross multiply
    39,418,709.50x = 84,285,047 × 84,285,047
  4. Step 4: Simplify right side
    39,418,709.50x = 7,103,969,147,792,209
  5. Step 5: Solve for x
    x = 7,103,969,147,792,209/39,418,709.50
  6. Step 6: Final answer
    x = 180,218,206.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.