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Finding the Third Proportional to 370,456,549.88 and 731,543,991.75

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Solution

The third proportional to 370,456,549.88 and 731,543,991.75 is: 1,444,586,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,456,549.88 : 731,543,991.75 = 731,543,991.75 : x
  2. Step 2: Convert to fraction form
    370,456,549.88/731,543,991.75 = 731,543,991.75/x
  3. Step 3: Cross multiply
    370,456,549.88x = 731,543,991.75 × 731,543,991.75
  4. Step 4: Simplify right side
    370,456,549.88x = 535,156,611,865,524,096
  5. Step 5: Solve for x
    x = 535,156,611,865,524,096/370,456,549.88
  6. Step 6: Final answer
    x = 1,444,586,718.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.