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Finding the Third Proportional to 543,348,310.50 and 847,307,443.50

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Solution

The third proportional to 543,348,310.50 and 847,307,443.50 is: 1,321,306,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,348,310.50 : 847,307,443.50 = 847,307,443.50 : x
  2. Step 2: Convert to fraction form
    543,348,310.50/847,307,443.50 = 847,307,443.50/x
  3. Step 3: Cross multiply
    543,348,310.50x = 847,307,443.50 × 847,307,443.50
  4. Step 4: Simplify right side
    543,348,310.50x = 717,929,903,810,505,728
  5. Step 5: Solve for x
    x = 717,929,903,810,505,728/543,348,310.50
  6. Step 6: Final answer
    x = 1,321,306,958.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.