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Finding the Third Proportional to 524,770,665.19 and 1,214,876,287.69

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Solution

The third proportional to 524,770,665.19 and 1,214,876,287.69 is: 2,812,513,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,665.19 : 1,214,876,287.69 = 1,214,876,287.69 : x
  2. Step 2: Convert to fraction form
    524,770,665.19/1,214,876,287.69 = 1,214,876,287.69/x
  3. Step 3: Cross multiply
    524,770,665.19x = 1,214,876,287.69 × 1,214,876,287.69
  4. Step 4: Simplify right side
    524,770,665.19x = 1,475,924,394,385,361,152
  5. Step 5: Solve for x
    x = 1,475,924,394,385,361,152/524,770,665.19
  6. Step 6: Final answer
    x = 2,812,513,145.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.