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Finding the Third Proportional to 37,503,486,676,218 and 81,238,892,224,542

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Solution

The third proportional to 37,503,486,676,218 and 81,238,892,224,542 is: 175,977,174,251,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,503,486,676,218 : 81,238,892,224,542 = 81,238,892,224,542 : x
  2. Step 2: Convert to fraction form
    37,503,486,676,218/81,238,892,224,542 = 81,238,892,224,542/x
  3. Step 3: Cross multiply
    37,503,486,676,218x = 81,238,892,224,542 × 81,238,892,224,542
  4. Step 4: Simplify right side
    37,503,486,676,218x = 6,599,757,609,870,750,615,771,021,312
  5. Step 5: Solve for x
    x = 6,599,757,609,870,750,615,771,021,312/37,503,486,676,218
  6. Step 6: Final answer
    x = 175,977,174,251,796.69

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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.