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Finding the Third Proportional to 34,090,966 and 51,175,816

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Solution

The third proportional to 34,090,966 and 51,175,816 is: 76,822,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090,966 : 51,175,816 = 51,175,816 : x
  2. Step 2: Convert to fraction form
    34,090,966/51,175,816 = 51,175,816/x
  3. Step 3: Cross multiply
    34,090,966x = 51,175,816 × 51,175,816
  4. Step 4: Simplify right side
    34,090,966x = 2,618,964,143,265,856
  5. Step 5: Solve for x
    x = 2,618,964,143,265,856/34,090,966
  6. Step 6: Final answer
    x = 76,822,819.96

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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.