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Finding the Third Proportional to 543,347,851.50 and 847,306,811.25

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Solution

The third proportional to 543,347,851.50 and 847,306,811.25 is: 1,321,306,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,347,851.50 : 847,306,811.25 = 847,306,811.25 : x
  2. Step 2: Convert to fraction form
    543,347,851.50/847,306,811.25 = 847,306,811.25/x
  3. Step 3: Cross multiply
    543,347,851.50x = 847,306,811.25 × 847,306,811.25
  4. Step 4: Simplify right side
    543,347,851.50x = 717,928,832,390,643,072
  5. Step 5: Solve for x
    x = 717,928,832,390,643,072/543,347,851.50
  6. Step 6: Final answer
    x = 1,321,306,103.28

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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.