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Finding the Third Proportional to 7,476,714 and 11,202,633

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Solution

The third proportional to 7,476,714 and 11,202,633 is: 16,785,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476,714 : 11,202,633 = 11,202,633 : x
  2. Step 2: Convert to fraction form
    7,476,714/11,202,633 = 11,202,633/x
  3. Step 3: Cross multiply
    7,476,714x = 11,202,633 × 11,202,633
  4. Step 4: Simplify right side
    7,476,714x = 125,498,986,132,689
  5. Step 5: Solve for x
    x = 125,498,986,132,689/7,476,714
  6. Step 6: Final answer
    x = 16,785,313.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.