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Finding the Third Proportional to 4,000,153.50 and 6,354,517.50

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Solution

The third proportional to 4,000,153.50 and 6,354,517.50 is: 10,094,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000,153.50 : 6,354,517.50 = 6,354,517.50 : x
  2. Step 2: Convert to fraction form
    4,000,153.50/6,354,517.50 = 6,354,517.50/x
  3. Step 3: Cross multiply
    4,000,153.50x = 6,354,517.50 × 6,354,517.50
  4. Step 4: Simplify right side
    4,000,153.50x = 40,379,892,657,806.25
  5. Step 5: Solve for x
    x = 40,379,892,657,806.25/4,000,153.50
  6. Step 6: Final answer
    x = 10,094,585.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.