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Finding the Third Proportional to 36,319,626,996 and 51,123,750,999

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Solution

The third proportional to 36,319,626,996 and 51,123,750,999 is: 71,962,135,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,319,626,996 : 51,123,750,999 = 51,123,750,999 : x
  2. Step 2: Convert to fraction form
    36,319,626,996/51,123,750,999 = 51,123,750,999/x
  3. Step 3: Cross multiply
    36,319,626,996x = 51,123,750,999 × 51,123,750,999
  4. Step 4: Simplify right side
    36,319,626,996x = 2,613,637,916,207,753,461,760
  5. Step 5: Solve for x
    x = 2,613,637,916,207,753,461,760/36,319,626,996
  6. Step 6: Final answer
    x = 71,962,135,417.73

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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.