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Finding the Third Proportional to 4,857,890,633.44 and 7,463,612,053.69

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Solution

The third proportional to 4,857,890,633.44 and 7,463,612,053.69 is: 11,467,015,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857,890,633.44 : 7,463,612,053.69 = 7,463,612,053.69 : x
  2. Step 2: Convert to fraction form
    4,857,890,633.44/7,463,612,053.69 = 7,463,612,053.69/x
  3. Step 3: Cross multiply
    4,857,890,633.44x = 7,463,612,053.69 × 7,463,612,053.69
  4. Step 4: Simplify right side
    4,857,890,633.44x = 55,705,504,887,949,344,768
  5. Step 5: Solve for x
    x = 55,705,504,887,949,344,768/4,857,890,633.44
  6. Step 6: Final answer
    x = 11,467,015,025.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.