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Finding the Third Proportional to 6,065,313 and 13,343,676

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Solution

The third proportional to 6,065,313 and 13,343,676 is: 29,356,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065,313 : 13,343,676 = 13,343,676 : x
  2. Step 2: Convert to fraction form
    6,065,313/13,343,676 = 13,343,676/x
  3. Step 3: Cross multiply
    6,065,313x = 13,343,676 × 13,343,676
  4. Step 4: Simplify right side
    6,065,313x = 178,053,689,192,976
  5. Step 5: Solve for x
    x = 178,053,689,192,976/6,065,313
  6. Step 6: Final answer
    x = 29,356,059.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.