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Finding the Third Proportional to 11,214,906 and 16,803,650

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Solution

The third proportional to 11,214,906 and 16,803,650 is: 25,177,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214,906 : 16,803,650 = 16,803,650 : x
  2. Step 2: Convert to fraction form
    11,214,906/16,803,650 = 16,803,650/x
  3. Step 3: Cross multiply
    11,214,906x = 16,803,650 × 16,803,650
  4. Step 4: Simplify right side
    11,214,906x = 282,362,653,322,500
  5. Step 5: Solve for x
    x = 282,362,653,322,500/11,214,906
  6. Step 6: Final answer
    x = 25,177,442.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.