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Finding the Third Proportional to 63,305,734 and 137,179,134

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Solution

The third proportional to 63,305,734 and 137,179,134 is: 297,257,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,305,734 : 137,179,134 = 137,179,134 : x
  2. Step 2: Convert to fraction form
    63,305,734/137,179,134 = 137,179,134/x
  3. Step 3: Cross multiply
    63,305,734x = 137,179,134 × 137,179,134
  4. Step 4: Simplify right side
    63,305,734x = 18,818,114,804,989,956
  5. Step 5: Solve for x
    x = 18,818,114,804,989,956/63,305,734
  6. Step 6: Final answer
    x = 297,257,667.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.