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Finding the Third Proportional to 32,811,966 and 71,809,716

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Solution

The third proportional to 32,811,966 and 71,809,716 is: 157,157,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811,966 : 71,809,716 = 71,809,716 : x
  2. Step 2: Convert to fraction form
    32,811,966/71,809,716 = 71,809,716/x
  3. Step 3: Cross multiply
    32,811,966x = 71,809,716 × 71,809,716
  4. Step 4: Simplify right side
    32,811,966x = 5,156,635,312,000,656
  5. Step 5: Solve for x
    x = 5,156,635,312,000,656/32,811,966
  6. Step 6: Final answer
    x = 157,157,157.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.