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Finding the Third Proportional to 46,247,879,542 and 73,589,467,944

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Solution

The third proportional to 46,247,879,542 and 73,589,467,944 is: 117,095,310,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,247,879,542 : 73,589,467,944 = 73,589,467,944 : x
  2. Step 2: Convert to fraction form
    46,247,879,542/73,589,467,944 = 73,589,467,944/x
  3. Step 3: Cross multiply
    46,247,879,542x = 73,589,467,944 × 73,589,467,944
  4. Step 4: Simplify right side
    46,247,879,542x = 5,415,409,792,281,003,163,648
  5. Step 5: Solve for x
    x = 5,415,409,792,281,003,163,648/46,247,879,542
  6. Step 6: Final answer
    x = 117,095,310,010.12

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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.