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Finding the Third Proportional to 32,831,569 and 71,270,570

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Solution

The third proportional to 32,831,569 and 71,270,570 is: 154,713,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831,569 : 71,270,570 = 71,270,570 : x
  2. Step 2: Convert to fraction form
    32,831,569/71,270,570 = 71,270,570/x
  3. Step 3: Cross multiply
    32,831,569x = 71,270,570 × 71,270,570
  4. Step 4: Simplify right side
    32,831,569x = 5,079,494,148,124,900
  5. Step 5: Solve for x
    x = 5,079,494,148,124,900/32,831,569
  6. Step 6: Final answer
    x = 154,713,719.23

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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.