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Finding the Third Proportional to 6,195,632 and 13,129,688

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Solution

The third proportional to 6,195,632 and 13,129,688 is: 27,824,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,632 : 13,129,688 = 13,129,688 : x
  2. Step 2: Convert to fraction form
    6,195,632/13,129,688 = 13,129,688/x
  3. Step 3: Cross multiply
    6,195,632x = 13,129,688 × 13,129,688
  4. Step 4: Simplify right side
    6,195,632x = 172,388,706,977,344
  5. Step 5: Solve for x
    x = 172,388,706,977,344/6,195,632
  6. Step 6: Final answer
    x = 27,824,232.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.