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Finding the Third Proportional to 1,308,820,099.50 and 1,958,592,960

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Solution

The third proportional to 1,308,820,099.50 and 1,958,592,960 is: 2,930,950,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,820,099.50 : 1,958,592,960 = 1,958,592,960 : x
  2. Step 2: Convert to fraction form
    1,308,820,099.50/1,958,592,960 = 1,958,592,960/x
  3. Step 3: Cross multiply
    1,308,820,099.50x = 1,958,592,960 × 1,958,592,960
  4. Step 4: Simplify right side
    1,308,820,099.50x = 3,836,086,382,961,561,600
  5. Step 5: Solve for x
    x = 3,836,086,382,961,561,600/1,308,820,099.50
  6. Step 6: Final answer
    x = 2,930,950,085.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.