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Finding the Third Proportional to 36,319,626,990 and 51,123,750,990

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Solution

The third proportional to 36,319,626,990 and 51,123,750,990 is: 71,962,135,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,319,626,990 : 51,123,750,990 = 51,123,750,990 : x
  2. Step 2: Convert to fraction form
    36,319,626,990/51,123,750,990 = 51,123,750,990/x
  3. Step 3: Cross multiply
    36,319,626,990x = 51,123,750,990 × 51,123,750,990
  4. Step 4: Simplify right side
    36,319,626,990x = 2,613,637,915,287,525,785,600
  5. Step 5: Solve for x
    x = 2,613,637,915,287,525,785,600/36,319,626,990
  6. Step 6: Final answer
    x = 71,962,135,404.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.