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Finding the Third Proportional to 2,863,716 and 6,175,533

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Solution

The third proportional to 2,863,716 and 6,175,533 is: 13,317,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,716 : 6,175,533 = 6,175,533 : x
  2. Step 2: Convert to fraction form
    2,863,716/6,175,533 = 6,175,533/x
  3. Step 3: Cross multiply
    2,863,716x = 6,175,533 × 6,175,533
  4. Step 4: Simplify right side
    2,863,716x = 38,137,207,834,089
  5. Step 5: Solve for x
    x = 38,137,207,834,089/2,863,716
  6. Step 6: Final answer
    x = 13,317,384.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.