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Finding the Third Proportional to 6,133,164 and 12,659,664

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Solution

The third proportional to 6,133,164 and 12,659,664 is: 26,131,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133,164 : 12,659,664 = 12,659,664 : x
  2. Step 2: Convert to fraction form
    6,133,164/12,659,664 = 12,659,664/x
  3. Step 3: Cross multiply
    6,133,164x = 12,659,664 × 12,659,664
  4. Step 4: Simplify right side
    6,133,164x = 160,267,092,592,896
  5. Step 5: Solve for x
    x = 160,267,092,592,896/6,133,164
  6. Step 6: Final answer
    x = 26,131,225.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.