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Finding the Third Proportional to 543,348,344.25 and 847,307,499.75

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Solution

The third proportional to 543,348,344.25 and 847,307,499.75 is: 1,321,307,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,348,344.25 : 847,307,499.75 = 847,307,499.75 : x
  2. Step 2: Convert to fraction form
    543,348,344.25/847,307,499.75 = 847,307,499.75/x
  3. Step 3: Cross multiply
    543,348,344.25x = 847,307,499.75 × 847,307,499.75
  4. Step 4: Simplify right side
    543,348,344.25x = 717,929,999,132,596,224
  5. Step 5: Solve for x
    x = 717,929,999,132,596,224/543,348,344.25
  6. Step 6: Final answer
    x = 1,321,307,052.34

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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.