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Finding the Third Proportional to 436,481,175 and 945,612,150

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Solution

The third proportional to 436,481,175 and 945,612,150 is: 2,048,616,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,481,175 : 945,612,150 = 945,612,150 : x
  2. Step 2: Convert to fraction form
    436,481,175/945,612,150 = 945,612,150/x
  3. Step 3: Cross multiply
    436,481,175x = 945,612,150 × 945,612,150
  4. Step 4: Simplify right side
    436,481,175x = 894,182,338,227,622,528
  5. Step 5: Solve for x
    x = 894,182,338,227,622,528/436,481,175
  6. Step 6: Final answer
    x = 2,048,616,044.50

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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.