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Finding the Third Proportional to 46,247,879,448 and 73,589,467,808.25

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Solution

The third proportional to 46,247,879,448 and 73,589,467,808.25 is: 117,095,309,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,247,879,448 : 73,589,467,808.25 = 73,589,467,808.25 : x
  2. Step 2: Convert to fraction form
    46,247,879,448/73,589,467,808.25 = 73,589,467,808.25/x
  3. Step 3: Cross multiply
    46,247,879,448x = 73,589,467,808.25 × 73,589,467,808.25
  4. Step 4: Simplify right side
    46,247,879,448x = 5,415,409,772,301,463,322,624
  5. Step 5: Solve for x
    x = 5,415,409,772,301,463,322,624/46,247,879,448
  6. Step 6: Final answer
    x = 117,095,309,816.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.