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Finding the Third Proportional to 13,640,102 and 29,407,564

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Solution

The third proportional to 13,640,102 and 29,407,564 is: 63,401,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640,102 : 29,407,564 = 29,407,564 : x
  2. Step 2: Convert to fraction form
    13,640,102/29,407,564 = 29,407,564/x
  3. Step 3: Cross multiply
    13,640,102x = 29,407,564 × 29,407,564
  4. Step 4: Simplify right side
    13,640,102x = 864,804,820,414,096
  5. Step 5: Solve for x
    x = 864,804,820,414,096/13,640,102
  6. Step 6: Final answer
    x = 63,401,638.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.