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Finding the Third Proportional to 1,006,766,571 and 2,373,228,724

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Solution

The third proportional to 1,006,766,571 and 2,373,228,724 is: 5,594,359,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,766,571 : 2,373,228,724 = 2,373,228,724 : x
  2. Step 2: Convert to fraction form
    1,006,766,571/2,373,228,724 = 2,373,228,724/x
  3. Step 3: Cross multiply
    1,006,766,571x = 2,373,228,724 × 2,373,228,724
  4. Step 4: Simplify right side
    1,006,766,571x = 5,632,214,576,418,668,544
  5. Step 5: Solve for x
    x = 5,632,214,576,418,668,544/1,006,766,571
  6. Step 6: Final answer
    x = 5,594,359,942.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.