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Finding the Third Proportional to 4,046,175,234,607.50 and 8,737,240,628,787.80

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Solution

The third proportional to 4,046,175,234,607.50 and 8,737,240,628,787.80 is: 18,867,045,883,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046,175,234,607.50 : 8,737,240,628,787.80 = 8,737,240,628,787.80 : x
  2. Step 2: Convert to fraction form
    4,046,175,234,607.50/8,737,240,628,787.80 = 8,737,240,628,787.80/x
  3. Step 3: Cross multiply
    4,046,175,234,607.50x = 8,737,240,628,787.80 × 8,737,240,628,787.80
  4. Step 4: Simplify right side
    4,046,175,234,607.50x = 76,339,373,805,340,227,398,533,120
  5. Step 5: Solve for x
    x = 76,339,373,805,340,227,398,533,120/4,046,175,234,607.50
  6. Step 6: Final answer
    x = 18,867,045,883,826.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.