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Finding the Third Proportional to 547,434,612 and 1,133,673,156

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Solution

The third proportional to 547,434,612 and 1,133,673,156 is: 2,347,704,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,434,612 : 1,133,673,156 = 1,133,673,156 : x
  2. Step 2: Convert to fraction form
    547,434,612/1,133,673,156 = 1,133,673,156/x
  3. Step 3: Cross multiply
    547,434,612x = 1,133,673,156 × 1,133,673,156
  4. Step 4: Simplify right side
    547,434,612x = 1,285,214,824,635,000,320
  5. Step 5: Solve for x
    x = 1,285,214,824,635,000,320/547,434,612
  6. Step 6: Final answer
    x = 2,347,704,723.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.