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Finding the Third Proportional to 383,657,595,520.50 and 825,503,949,864

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Solution

The third proportional to 383,657,595,520.50 and 825,503,949,864 is: 1,776,210,817,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,657,595,520.50 : 825,503,949,864 = 825,503,949,864 : x
  2. Step 2: Convert to fraction form
    383,657,595,520.50/825,503,949,864 = 825,503,949,864/x
  3. Step 3: Cross multiply
    383,657,595,520.50x = 825,503,949,864 × 825,503,949,864
  4. Step 4: Simplify right side
    383,657,595,520.50x = 681,456,771,241,065,448,472,576
  5. Step 5: Solve for x
    x = 681,456,771,241,065,448,472,576/383,657,595,520.50
  6. Step 6: Final answer
    x = 1,776,210,817,139.04

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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.