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Finding the Third Proportional to 65,384,045 and 138,738,010

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Solution

The third proportional to 65,384,045 and 138,738,010 is: 294,387,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384,045 : 138,738,010 = 138,738,010 : x
  2. Step 2: Convert to fraction form
    65,384,045/138,738,010 = 138,738,010/x
  3. Step 3: Cross multiply
    65,384,045x = 138,738,010 × 138,738,010
  4. Step 4: Simplify right side
    65,384,045x = 19,248,235,418,760,100
  5. Step 5: Solve for x
    x = 19,248,235,418,760,100/65,384,045
  6. Step 6: Final answer
    x = 294,387,345.09

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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.