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Finding the Third Proportional to 4,644,588,266,063 and 6,457,928,728,966

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Solution

The third proportional to 4,644,588,266,063 and 6,457,928,728,966 is: 8,979,233,697,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644,588,266,063 : 6,457,928,728,966 = 6,457,928,728,966 : x
  2. Step 2: Convert to fraction form
    4,644,588,266,063/6,457,928,728,966 = 6,457,928,728,966/x
  3. Step 3: Cross multiply
    4,644,588,266,063x = 6,457,928,728,966 × 6,457,928,728,966
  4. Step 4: Simplify right side
    4,644,588,266,063x = 41,704,843,468,404,412,204,974,080
  5. Step 5: Solve for x
    x = 41,704,843,468,404,412,204,974,080/4,644,588,266,063
  6. Step 6: Final answer
    x = 8,979,233,697,232.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.