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Finding the Third Proportional to 48,536,901 and 68,270,571

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Solution

The third proportional to 48,536,901 and 68,270,571 is: 96,027,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,536,901 : 68,270,571 = 68,270,571 : x
  2. Step 2: Convert to fraction form
    48,536,901/68,270,571 = 68,270,571/x
  3. Step 3: Cross multiply
    48,536,901x = 68,270,571 × 68,270,571
  4. Step 4: Simplify right side
    48,536,901x = 4,660,870,864,666,041
  5. Step 5: Solve for x
    x = 4,660,870,864,666,041/48,536,901
  6. Step 6: Final answer
    x = 96,027,368.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.