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Finding the Third Proportional to 46,746,702 and 69,858,418.50

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Solution

The third proportional to 46,746,702 and 69,858,418.50 is: 104,396,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746,702 : 69,858,418.50 = 69,858,418.50 : x
  2. Step 2: Convert to fraction form
    46,746,702/69,858,418.50 = 69,858,418.50/x
  3. Step 3: Cross multiply
    46,746,702x = 69,858,418.50 × 69,858,418.50
  4. Step 4: Simplify right side
    46,746,702x = 4,880,198,635,321,142
  5. Step 5: Solve for x
    x = 4,880,198,635,321,142/46,746,702
  6. Step 6: Final answer
    x = 104,396,640.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.