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Finding the Third Proportional to 678,672,481.50 and 1,461,341,198.25

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Solution

The third proportional to 678,672,481.50 and 1,461,341,198.25 is: 3,146,610,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,672,481.50 : 1,461,341,198.25 = 1,461,341,198.25 : x
  2. Step 2: Convert to fraction form
    678,672,481.50/1,461,341,198.25 = 1,461,341,198.25/x
  3. Step 3: Cross multiply
    678,672,481.50x = 1,461,341,198.25 × 1,461,341,198.25
  4. Step 4: Simplify right side
    678,672,481.50x = 2,135,518,097,702,745,856
  5. Step 5: Solve for x
    x = 2,135,518,097,702,745,856/678,672,481.50
  6. Step 6: Final answer
    x = 3,146,610,708.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.