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Finding the Third Proportional to 24,947,048,832 and 55,471,864,740

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Solution

The third proportional to 24,947,048,832 and 55,471,864,740 is: 123,346,364,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947,048,832 : 55,471,864,740 = 55,471,864,740 : x
  2. Step 2: Convert to fraction form
    24,947,048,832/55,471,864,740 = 55,471,864,740/x
  3. Step 3: Cross multiply
    24,947,048,832x = 55,471,864,740 × 55,471,864,740
  4. Step 4: Simplify right side
    24,947,048,832x = 3,077,127,777,732,855,332,864
  5. Step 5: Solve for x
    x = 3,077,127,777,732,855,332,864/24,947,048,832
  6. Step 6: Final answer
    x = 123,346,364,472.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.