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Finding the Third Proportional to 1,591,783,056 and 3,425,430,816

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Solution

The third proportional to 1,591,783,056 and 3,425,430,816 is: 7,371,341,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,783,056 : 3,425,430,816 = 3,425,430,816 : x
  2. Step 2: Convert to fraction form
    1,591,783,056/3,425,430,816 = 3,425,430,816/x
  3. Step 3: Cross multiply
    1,591,783,056x = 3,425,430,816 × 3,425,430,816
  4. Step 4: Simplify right side
    1,591,783,056x = 11,733,576,275,202,424,832
  5. Step 5: Solve for x
    x = 11,733,576,275,202,424,832/1,591,783,056
  6. Step 6: Final answer
    x = 7,371,341,358.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.