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Finding the Third Proportional to 46,746,570 and 69,858,219

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Solution

The third proportional to 46,746,570 and 69,858,219 is: 104,396,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746,570 : 69,858,219 = 69,858,219 : x
  2. Step 2: Convert to fraction form
    46,746,570/69,858,219 = 69,858,219/x
  3. Step 3: Cross multiply
    46,746,570x = 69,858,219 × 69,858,219
  4. Step 4: Simplify right side
    46,746,570x = 4,880,170,761,851,961
  5. Step 5: Solve for x
    x = 4,880,170,761,851,961/46,746,570
  6. Step 6: Final answer
    x = 104,396,338.85

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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.