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Finding the Third Proportional to 1,591,783,057 and 3,425,430,818

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Solution

The third proportional to 1,591,783,057 and 3,425,430,818 is: 7,371,341,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,783,057 : 3,425,430,818 = 3,425,430,818 : x
  2. Step 2: Convert to fraction form
    1,591,783,057/3,425,430,818 = 3,425,430,818/x
  3. Step 3: Cross multiply
    1,591,783,057x = 3,425,430,818 × 3,425,430,818
  4. Step 4: Simplify right side
    1,591,783,057x = 11,733,576,288,904,148,992
  5. Step 5: Solve for x
    x = 11,733,576,288,904,148,992/1,591,783,057
  6. Step 6: Final answer
    x = 7,371,341,362.95

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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.