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Finding the Third Proportional to 32,811,972 and 71,809,728

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Solution

The third proportional to 32,811,972 and 71,809,728 is: 157,157,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811,972 : 71,809,728 = 71,809,728 : x
  2. Step 2: Convert to fraction form
    32,811,972/71,809,728 = 71,809,728/x
  3. Step 3: Cross multiply
    32,811,972x = 71,809,728 × 71,809,728
  4. Step 4: Simplify right side
    32,811,972x = 5,156,637,035,433,984
  5. Step 5: Solve for x
    x = 5,156,637,035,433,984/32,811,972
  6. Step 6: Final answer
    x = 157,157,181.39

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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.