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Finding the Third Proportional to 5,351,746 and 7,629,029

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Solution

The third proportional to 5,351,746 and 7,629,029 is: 10,875,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351,746 : 7,629,029 = 7,629,029 : x
  2. Step 2: Convert to fraction form
    5,351,746/7,629,029 = 7,629,029/x
  3. Step 3: Cross multiply
    5,351,746x = 7,629,029 × 7,629,029
  4. Step 4: Simplify right side
    5,351,746x = 58,202,083,482,841
  5. Step 5: Solve for x
    x = 58,202,083,482,841/5,351,746
  6. Step 6: Final answer
    x = 10,875,344.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.