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Finding the Third Proportional to 448,372,442.25 and 970,437,793.50

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Solution

The third proportional to 448,372,442.25 and 970,437,793.50 is: 2,100,373,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,372,442.25 : 970,437,793.50 = 970,437,793.50 : x
  2. Step 2: Convert to fraction form
    448,372,442.25/970,437,793.50 = 970,437,793.50/x
  3. Step 3: Cross multiply
    448,372,442.25x = 970,437,793.50 × 970,437,793.50
  4. Step 4: Simplify right side
    448,372,442.25x = 941,749,511,053,148,672
  5. Step 5: Solve for x
    x = 941,749,511,053,148,672/448,372,442.25
  6. Step 6: Final answer
    x = 2,100,373,310.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.