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Finding the Third Proportional to 39,753,509.06 and 84,090,468.94

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Solution

The third proportional to 39,753,509.06 and 84,090,468.94 is: 177,876,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,753,509.06 : 84,090,468.94 = 84,090,468.94 : x
  2. Step 2: Convert to fraction form
    39,753,509.06/84,090,468.94 = 84,090,468.94/x
  3. Step 3: Cross multiply
    39,753,509.06x = 84,090,468.94 × 84,090,468.94
  4. Step 4: Simplify right side
    39,753,509.06x = 7,071,206,966,128,652
  5. Step 5: Solve for x
    x = 7,071,206,966,128,652/39,753,509.06
  6. Step 6: Final answer
    x = 177,876,296.53

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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.