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Finding the Third Proportional to 6,818,415 and 11,362,676

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Solution

The third proportional to 6,818,415 and 11,362,676 is: 18,935,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818,415 : 11,362,676 = 11,362,676 : x
  2. Step 2: Convert to fraction form
    6,818,415/11,362,676 = 11,362,676/x
  3. Step 3: Cross multiply
    6,818,415x = 11,362,676 × 11,362,676
  4. Step 4: Simplify right side
    6,818,415x = 129,110,405,880,976
  5. Step 5: Solve for x
    x = 129,110,405,880,976/6,818,415
  6. Step 6: Final answer
    x = 18,935,545.27

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.