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Finding the Third Proportional to 360,894,262,883.62 and 774,178,224,871.80

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Solution

The third proportional to 360,894,262,883.62 and 774,178,224,871.80 is: 1,660,741,068,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,894,262,883.62 : 774,178,224,871.80 = 774,178,224,871.80 : x
  2. Step 2: Convert to fraction form
    360,894,262,883.62/774,178,224,871.80 = 774,178,224,871.80/x
  3. Step 3: Cross multiply
    360,894,262,883.62x = 774,178,224,871.80 × 774,178,224,871.80
  4. Step 4: Simplify right side
    360,894,262,883.62x = 599,351,923,865,651,427,409,920
  5. Step 5: Solve for x
    x = 599,351,923,865,651,427,409,920/360,894,262,883.62
  6. Step 6: Final answer
    x = 1,660,741,068,801.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.