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Finding the Third Proportional to 227,903,432,573 and 485,282,708,770

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Solution

The third proportional to 227,903,432,573 and 485,282,708,770 is: 1,033,329,356,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,903,432,573 : 485,282,708,770 = 485,282,708,770 : x
  2. Step 2: Convert to fraction form
    227,903,432,573/485,282,708,770 = 485,282,708,770/x
  3. Step 3: Cross multiply
    227,903,432,573x = 485,282,708,770 × 485,282,708,770
  4. Step 4: Simplify right side
    227,903,432,573x = 235,499,307,431,148,633,718,784
  5. Step 5: Solve for x
    x = 235,499,307,431,148,633,718,784/227,903,432,573
  6. Step 6: Final answer
    x = 1,033,329,356,966.64

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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.