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Finding the Third Proportional to 4,647,528 and 7,040,844

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Solution

The third proportional to 4,647,528 and 7,040,844 is: 10,666,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647,528 : 7,040,844 = 7,040,844 : x
  2. Step 2: Convert to fraction form
    4,647,528/7,040,844 = 7,040,844/x
  3. Step 3: Cross multiply
    4,647,528x = 7,040,844 × 7,040,844
  4. Step 4: Simplify right side
    4,647,528x = 49,573,484,232,336
  5. Step 5: Solve for x
    x = 49,573,484,232,336/4,647,528
  6. Step 6: Final answer
    x = 10,666,634.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.