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Finding the Third Proportional to 46,501,917 and 100,111,762.50

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Solution

The third proportional to 46,501,917 and 100,111,762.50 is: 215,525,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,501,917 : 100,111,762.50 = 100,111,762.50 : x
  2. Step 2: Convert to fraction form
    46,501,917/100,111,762.50 = 100,111,762.50/x
  3. Step 3: Cross multiply
    46,501,917x = 100,111,762.50 × 100,111,762.50
  4. Step 4: Simplify right side
    46,501,917x = 10,022,364,990,856,406
  5. Step 5: Solve for x
    x = 10,022,364,990,856,406/46,501,917
  6. Step 6: Final answer
    x = 215,525,845.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.