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Finding the Third Proportional to 34,090,974 and 51,175,828

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Solution

The third proportional to 34,090,974 and 51,175,828 is: 76,822,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090,974 : 51,175,828 = 51,175,828 : x
  2. Step 2: Convert to fraction form
    34,090,974/51,175,828 = 51,175,828/x
  3. Step 3: Cross multiply
    34,090,974x = 51,175,828 × 51,175,828
  4. Step 4: Simplify right side
    34,090,974x = 2,618,965,371,485,584
  5. Step 5: Solve for x
    x = 2,618,965,371,485,584/34,090,974
  6. Step 6: Final answer
    x = 76,822,837.96

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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.