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Finding the Third Proportional to 699,796,779.75 and 1,503,445,286.25

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Solution

The third proportional to 699,796,779.75 and 1,503,445,286.25 is: 3,230,005,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,796,779.75 : 1,503,445,286.25 = 1,503,445,286.25 : x
  2. Step 2: Convert to fraction form
    699,796,779.75/1,503,445,286.25 = 1,503,445,286.25/x
  3. Step 3: Cross multiply
    699,796,779.75x = 1,503,445,286.25 × 1,503,445,286.25
  4. Step 4: Simplify right side
    699,796,779.75x = 2,260,347,728,747,344,384
  5. Step 5: Solve for x
    x = 2,260,347,728,747,344,384/699,796,779.75
  6. Step 6: Final answer
    x = 3,230,005,901.93

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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.