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Finding the Third Proportional to 31,976,232.75 and 70,328,292.75

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Solution

The third proportional to 31,976,232.75 and 70,328,292.75 is: 154,679,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,976,232.75 : 70,328,292.75 = 70,328,292.75 : x
  2. Step 2: Convert to fraction form
    31,976,232.75/70,328,292.75 = 70,328,292.75/x
  3. Step 3: Cross multiply
    31,976,232.75x = 70,328,292.75 × 70,328,292.75
  4. Step 4: Simplify right side
    31,976,232.75x = 4,946,068,761,129,703
  5. Step 5: Solve for x
    x = 4,946,068,761,129,703/31,976,232.75
  6. Step 6: Final answer
    x = 154,679,533.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.