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Finding the Third Proportional to 227,903,432,571 and 485,282,708,766

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Solution

The third proportional to 227,903,432,571 and 485,282,708,766 is: 1,033,329,356,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,903,432,571 : 485,282,708,766 = 485,282,708,766 : x
  2. Step 2: Convert to fraction form
    227,903,432,571/485,282,708,766 = 485,282,708,766/x
  3. Step 3: Cross multiply
    227,903,432,571x = 485,282,708,766 × 485,282,708,766
  4. Step 4: Simplify right side
    227,903,432,571x = 235,499,307,427,266,385,936,384
  5. Step 5: Solve for x
    x = 235,499,307,427,266,385,936,384/227,903,432,571
  6. Step 6: Final answer
    x = 1,033,329,356,958.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.