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Finding the Third Proportional to 7,812,531 and 17,137,782

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Solution

The third proportional to 7,812,531 and 17,137,782 is: 37,593,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,531 : 17,137,782 = 17,137,782 : x
  2. Step 2: Convert to fraction form
    7,812,531/17,137,782 = 17,137,782/x
  3. Step 3: Cross multiply
    7,812,531x = 17,137,782 × 17,137,782
  4. Step 4: Simplify right side
    7,812,531x = 293,703,571,879,524
  5. Step 5: Solve for x
    x = 293,703,571,879,524/7,812,531
  6. Step 6: Final answer
    x = 37,593,908.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.