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Finding the Third Proportional to 49,735,401 and 107,029,074

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Solution

The third proportional to 49,735,401 and 107,029,074 is: 230,323,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,401 : 107,029,074 = 107,029,074 : x
  2. Step 2: Convert to fraction form
    49,735,401/107,029,074 = 107,029,074/x
  3. Step 3: Cross multiply
    49,735,401x = 107,029,074 × 107,029,074
  4. Step 4: Simplify right side
    49,735,401x = 11,455,222,681,297,476
  5. Step 5: Solve for x
    x = 11,455,222,681,297,476/49,735,401
  6. Step 6: Final answer
    x = 230,323,320.03

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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.