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Finding the Third Proportional to 36,732,147,257,888 and 78,915,463,412,418

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Solution

The third proportional to 36,732,147,257,888 and 78,915,463,412,418 is: 169,542,235,630,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,732,147,257,888 : 78,915,463,412,418 = 78,915,463,412,418 : x
  2. Step 2: Convert to fraction form
    36,732,147,257,888/78,915,463,412,418 = 78,915,463,412,418/x
  3. Step 3: Cross multiply
    36,732,147,257,888x = 78,915,463,412,418 × 78,915,463,412,418
  4. Step 4: Simplify right side
    36,732,147,257,888x = 6,227,650,365,596,684,412,753,281,024
  5. Step 5: Solve for x
    x = 6,227,650,365,596,684,412,753,281,024/36,732,147,257,888
  6. Step 6: Final answer
    x = 169,542,235,630,108.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.