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Finding the Third Proportional to 961,678,806 and 1,524,011,874

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Solution

The third proportional to 961,678,806 and 1,524,011,874 is: 2,415,164,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,678,806 : 1,524,011,874 = 1,524,011,874 : x
  2. Step 2: Convert to fraction form
    961,678,806/1,524,011,874 = 1,524,011,874/x
  3. Step 3: Cross multiply
    961,678,806x = 1,524,011,874 × 1,524,011,874
  4. Step 4: Simplify right side
    961,678,806x = 2,322,612,192,092,992,000
  5. Step 5: Solve for x
    x = 2,322,612,192,092,992,000/961,678,806
  6. Step 6: Final answer
    x = 2,415,164,166.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.