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Finding the Third Proportional to 34,090,968 and 51,175,819

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Solution

The third proportional to 34,090,968 and 51,175,819 is: 76,822,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090,968 : 51,175,819 = 51,175,819 : x
  2. Step 2: Convert to fraction form
    34,090,968/51,175,819 = 51,175,819/x
  3. Step 3: Cross multiply
    34,090,968x = 51,175,819 × 51,175,819
  4. Step 4: Simplify right side
    34,090,968x = 2,618,964,450,320,761
  5. Step 5: Solve for x
    x = 2,618,964,450,320,761/34,090,968
  6. Step 6: Final answer
    x = 76,822,824.46

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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.