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Finding the Third Proportional to 691,022,511 and 1,059,629,998.50

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Solution

The third proportional to 691,022,511 and 1,059,629,998.50 is: 1,624,861,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,022,511 : 1,059,629,998.50 = 1,059,629,998.50 : x
  2. Step 2: Convert to fraction form
    691,022,511/1,059,629,998.50 = 1,059,629,998.50/x
  3. Step 3: Cross multiply
    691,022,511x = 1,059,629,998.50 × 1,059,629,998.50
  4. Step 4: Simplify right side
    691,022,511x = 1,122,815,733,721,110,016
  5. Step 5: Solve for x
    x = 1,122,815,733,721,110,016/691,022,511
  6. Step 6: Final answer
    x = 1,624,861,297.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.