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Finding the Third Proportional to 6,485,672 and 15,012,761

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Solution

The third proportional to 6,485,672 and 15,012,761 is: 34,750,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485,672 : 15,012,761 = 15,012,761 : x
  2. Step 2: Convert to fraction form
    6,485,672/15,012,761 = 15,012,761/x
  3. Step 3: Cross multiply
    6,485,672x = 15,012,761 × 15,012,761
  4. Step 4: Simplify right side
    6,485,672x = 225,382,992,843,121
  5. Step 5: Solve for x
    x = 225,382,992,843,121/6,485,672
  6. Step 6: Final answer
    x = 34,750,908.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.