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Finding the Third Proportional to 32,052,005 and 49,661,355

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Solution

The third proportional to 32,052,005 and 49,661,355 is: 76,945,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,052,005 : 49,661,355 = 49,661,355 : x
  2. Step 2: Convert to fraction form
    32,052,005/49,661,355 = 49,661,355/x
  3. Step 3: Cross multiply
    32,052,005x = 49,661,355 × 49,661,355
  4. Step 4: Simplify right side
    32,052,005x = 2,466,250,180,436,025
  5. Step 5: Solve for x
    x = 2,466,250,180,436,025/32,052,005
  6. Step 6: Final answer
    x = 76,945,270.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.