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Finding the Third Proportional to 32,710,059 and 71,361,464

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Solution

The third proportional to 32,710,059 and 71,361,464 is: 155,684,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,710,059 : 71,361,464 = 71,361,464 : x
  2. Step 2: Convert to fraction form
    32,710,059/71,361,464 = 71,361,464/x
  3. Step 3: Cross multiply
    32,710,059x = 71,361,464 × 71,361,464
  4. Step 4: Simplify right side
    32,710,059x = 5,092,458,544,223,296
  5. Step 5: Solve for x
    x = 5,092,458,544,223,296/32,710,059
  6. Step 6: Final answer
    x = 155,684,786.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.