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Finding the Third Proportional to 12,427,638,586 and 27,261,332,011

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Solution

The third proportional to 12,427,638,586 and 27,261,332,011 is: 59,800,598,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427,638,586 : 27,261,332,011 = 27,261,332,011 : x
  2. Step 2: Convert to fraction form
    12,427,638,586/27,261,332,011 = 27,261,332,011/x
  3. Step 3: Cross multiply
    12,427,638,586x = 27,261,332,011 × 27,261,332,011
  4. Step 4: Simplify right side
    12,427,638,586x = 743,180,223,013,973,262,336
  5. Step 5: Solve for x
    x = 743,180,223,013,973,262,336/12,427,638,586
  6. Step 6: Final answer
    x = 59,800,598,309.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.