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Finding the Third Proportional to 49,735,367 and 107,029,006

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Solution

The third proportional to 49,735,367 and 107,029,006 is: 230,323,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,367 : 107,029,006 = 107,029,006 : x
  2. Step 2: Convert to fraction form
    49,735,367/107,029,006 = 107,029,006/x
  3. Step 3: Cross multiply
    49,735,367x = 107,029,006 × 107,029,006
  4. Step 4: Simplify right side
    49,735,367x = 11,455,208,125,348,036
  5. Step 5: Solve for x
    x = 11,455,208,125,348,036/49,735,367
  6. Step 6: Final answer
    x = 230,323,184.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.