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Finding the Third Proportional to 7,670,579,869,537 and 16,691,491,134,384

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Solution

The third proportional to 7,670,579,869,537 and 16,691,491,134,384 is: 36,321,357,840,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670,579,869,537 : 16,691,491,134,384 = 16,691,491,134,384 : x
  2. Step 2: Convert to fraction form
    7,670,579,869,537/16,691,491,134,384 = 16,691,491,134,384/x
  3. Step 3: Cross multiply
    7,670,579,869,537x = 16,691,491,134,384 × 16,691,491,134,384
  4. Step 4: Simplify right side
    7,670,579,869,537x = 278,605,876,289,219,675,692,204,032
  5. Step 5: Solve for x
    x = 278,605,876,289,219,675,692,204,032/7,670,579,869,537
  6. Step 6: Final answer
    x = 36,321,357,840,973.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.