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Finding the Third Proportional to 1,307,317,612 and 2,801,141,244

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Solution

The third proportional to 1,307,317,612 and 2,801,141,244 is: 6,001,902,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,317,612 : 2,801,141,244 = 2,801,141,244 : x
  2. Step 2: Convert to fraction form
    1,307,317,612/2,801,141,244 = 2,801,141,244/x
  3. Step 3: Cross multiply
    1,307,317,612x = 2,801,141,244 × 2,801,141,244
  4. Step 4: Simplify right side
    1,307,317,612x = 7,846,392,268,837,867,520
  5. Step 5: Solve for x
    x = 7,846,392,268,837,867,520/1,307,317,612
  6. Step 6: Final answer
    x = 6,001,902,060.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.