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Finding the Third Proportional to 39,563,484.75 and 84,352,765.50

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Solution

The third proportional to 39,563,484.75 and 84,352,765.50 is: 179,847,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,563,484.75 : 84,352,765.50 = 84,352,765.50 : x
  2. Step 2: Convert to fraction form
    39,563,484.75/84,352,765.50 = 84,352,765.50/x
  3. Step 3: Cross multiply
    39,563,484.75x = 84,352,765.50 × 84,352,765.50
  4. Step 4: Simplify right side
    39,563,484.75x = 7,115,389,047,497,990
  5. Step 5: Solve for x
    x = 7,115,389,047,497,990/39,563,484.75
  6. Step 6: Final answer
    x = 179,847,379.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.