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Finding the Third Proportional to 46,247,879,520 and 73,589,467,916.25

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Solution

The third proportional to 46,247,879,520 and 73,589,467,916.25 is: 117,095,309,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,247,879,520 : 73,589,467,916.25 = 73,589,467,916.25 : x
  2. Step 2: Convert to fraction form
    46,247,879,520/73,589,467,916.25 = 73,589,467,916.25/x
  3. Step 3: Cross multiply
    46,247,879,520x = 73,589,467,916.25 × 73,589,467,916.25
  4. Step 4: Simplify right side
    46,247,879,520x = 5,415,409,788,196,788,109,312
  5. Step 5: Solve for x
    x = 5,415,409,788,196,788,109,312/46,247,879,520
  6. Step 6: Final answer
    x = 117,095,309,977.51

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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.