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Finding the Third Proportional to 6,558,900 and 14,409,102

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Solution

The third proportional to 6,558,900 and 14,409,102 is: 31,655,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558,900 : 14,409,102 = 14,409,102 : x
  2. Step 2: Convert to fraction form
    6,558,900/14,409,102 = 14,409,102/x
  3. Step 3: Cross multiply
    6,558,900x = 14,409,102 × 14,409,102
  4. Step 4: Simplify right side
    6,558,900x = 207,622,220,446,404
  5. Step 5: Solve for x
    x = 207,622,220,446,404/6,558,900
  6. Step 6: Final answer
    x = 31,655,036.74

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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.