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Finding the Third Proportional to 39,753,513 and 84,090,476

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Solution

The third proportional to 39,753,513 and 84,090,476 is: 177,876,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,753,513 : 84,090,476 = 84,090,476 : x
  2. Step 2: Convert to fraction form
    39,753,513/84,090,476 = 84,090,476/x
  3. Step 3: Cross multiply
    39,753,513x = 84,090,476 × 84,090,476
  4. Step 4: Simplify right side
    39,753,513x = 7,071,208,153,906,576
  5. Step 5: Solve for x
    x = 7,071,208,153,906,576/39,753,513
  6. Step 6: Final answer
    x = 177,876,308.79

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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.