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Finding the Third Proportional to 32,831,424 and 71,270,280

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Solution

The third proportional to 32,831,424 and 71,270,280 is: 154,713,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831,424 : 71,270,280 = 71,270,280 : x
  2. Step 2: Convert to fraction form
    32,831,424/71,270,280 = 71,270,280/x
  3. Step 3: Cross multiply
    32,831,424x = 71,270,280 × 71,270,280
  4. Step 4: Simplify right side
    32,831,424x = 5,079,452,811,278,400
  5. Step 5: Solve for x
    x = 5,079,452,811,278,400/32,831,424
  6. Step 6: Final answer
    x = 154,713,143.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.