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Finding the Third Proportional to 13,640,096 and 29,407,552

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Solution

The third proportional to 13,640,096 and 29,407,552 is: 63,401,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640,096 : 29,407,552 = 29,407,552 : x
  2. Step 2: Convert to fraction form
    13,640,096/29,407,552 = 29,407,552/x
  3. Step 3: Cross multiply
    13,640,096x = 29,407,552 × 29,407,552
  4. Step 4: Simplify right side
    13,640,096x = 864,804,114,632,704
  5. Step 5: Solve for x
    x = 864,804,114,632,704/13,640,096
  6. Step 6: Final answer
    x = 63,401,614.96

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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.