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Finding the Third Proportional to 2,770,569,468 and 4,159,501,794

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Solution

The third proportional to 2,770,569,468 and 4,159,501,794 is: 6,244,728,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770,569,468 : 4,159,501,794 = 4,159,501,794 : x
  2. Step 2: Convert to fraction form
    2,770,569,468/4,159,501,794 = 4,159,501,794/x
  3. Step 3: Cross multiply
    2,770,569,468x = 4,159,501,794 × 4,159,501,794
  4. Step 4: Simplify right side
    2,770,569,468x = 17,301,455,174,289,217,536
  5. Step 5: Solve for x
    x = 17,301,455,174,289,217,536/2,770,569,468
  6. Step 6: Final answer
    x = 6,244,728,881.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.