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Finding the Third Proportional to 65,384,043 and 138,738,006

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Solution

The third proportional to 65,384,043 and 138,738,006 is: 294,387,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384,043 : 138,738,006 = 138,738,006 : x
  2. Step 2: Convert to fraction form
    65,384,043/138,738,006 = 138,738,006/x
  3. Step 3: Cross multiply
    65,384,043x = 138,738,006 × 138,738,006
  4. Step 4: Simplify right side
    65,384,043x = 19,248,234,308,856,036
  5. Step 5: Solve for x
    x = 19,248,234,308,856,036/65,384,043
  6. Step 6: Final answer
    x = 294,387,337.12

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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.