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Finding the Third Proportional to 7,164,085,183.50 and 15,501,644,583

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Solution

The third proportional to 7,164,085,183.50 and 15,501,644,583 is: 33,542,452,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164,085,183.50 : 15,501,644,583 = 15,501,644,583 : x
  2. Step 2: Convert to fraction form
    7,164,085,183.50/15,501,644,583 = 15,501,644,583/x
  3. Step 3: Cross multiply
    7,164,085,183.50x = 15,501,644,583 × 15,501,644,583
  4. Step 4: Simplify right side
    7,164,085,183.50x = 240,300,984,777,653,256,192
  5. Step 5: Solve for x
    x = 240,300,984,777,653,256,192/7,164,085,183.50
  6. Step 6: Final answer
    x = 33,542,452,193.49

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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.