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Finding the Third Proportional to 761,628,986.37 and 1,658,469,538.20

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Solution

The third proportional to 761,628,986.37 and 1,658,469,538.20 is: 3,611,366,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,628,986.37 : 1,658,469,538.20 = 1,658,469,538.20 : x
  2. Step 2: Convert to fraction form
    761,628,986.37/1,658,469,538.20 = 1,658,469,538.20/x
  3. Step 3: Cross multiply
    761,628,986.37x = 1,658,469,538.20 × 1,658,469,538.20
  4. Step 4: Simplify right side
    761,628,986.37x = 2,750,521,209,122,063,360
  5. Step 5: Solve for x
    x = 2,750,521,209,122,063,360/761,628,986.37
  6. Step 6: Final answer
    x = 3,611,366,240.46

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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.