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Finding the Third Proportional to 39,753,645.75 and 84,090,833.44

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Solution

The third proportional to 39,753,645.75 and 84,090,833.44 is: 177,877,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,753,645.75 : 84,090,833.44 = 84,090,833.44 : x
  2. Step 2: Convert to fraction form
    39,753,645.75/84,090,833.44 = 84,090,833.44/x
  3. Step 3: Cross multiply
    39,753,645.75x = 84,090,833.44 × 84,090,833.44
  4. Step 4: Simplify right side
    39,753,645.75x = 7,071,268,268,213,368
  5. Step 5: Solve for x
    x = 7,071,268,268,213,368/39,753,645.75
  6. Step 6: Final answer
    x = 177,877,226.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.