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Finding the Third Proportional to 65,384,042 and 138,738,004

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Solution

The third proportional to 65,384,042 and 138,738,004 is: 294,387,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384,042 : 138,738,004 = 138,738,004 : x
  2. Step 2: Convert to fraction form
    65,384,042/138,738,004 = 138,738,004/x
  3. Step 3: Cross multiply
    65,384,042x = 138,738,004 × 138,738,004
  4. Step 4: Simplify right side
    65,384,042x = 19,248,233,753,904,016
  5. Step 5: Solve for x
    x = 19,248,233,753,904,016/65,384,042
  6. Step 6: Final answer
    x = 294,387,333.13

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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.