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Finding the Third Proportional to 682,159,569 and 1,500,336,834

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Solution

The third proportional to 682,159,569 and 1,500,336,834 is: 3,299,830,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,159,569 : 1,500,336,834 = 1,500,336,834 : x
  2. Step 2: Convert to fraction form
    682,159,569/1,500,336,834 = 1,500,336,834/x
  3. Step 3: Cross multiply
    682,159,569x = 1,500,336,834 × 1,500,336,834
  4. Step 4: Simplify right side
    682,159,569x = 2,251,010,615,457,143,552
  5. Step 5: Solve for x
    x = 2,251,010,615,457,143,552/682,159,569
  6. Step 6: Final answer
    x = 3,299,830,007.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.