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Finding the Third Proportional to 2,829,579 and 6,137,661

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Solution

The third proportional to 2,829,579 and 6,137,661 is: 13,313,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,579 : 6,137,661 = 6,137,661 : x
  2. Step 2: Convert to fraction form
    2,829,579/6,137,661 = 6,137,661/x
  3. Step 3: Cross multiply
    2,829,579x = 6,137,661 × 6,137,661
  4. Step 4: Simplify right side
    2,829,579x = 37,670,882,550,921
  5. Step 5: Solve for x
    x = 37,670,882,550,921/2,829,579
  6. Step 6: Final answer
    x = 13,313,246.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.