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Finding the Third Proportional to 4,102,734 and 8,927,906

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Solution

The third proportional to 4,102,734 and 8,927,906 is: 19,427,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,734 : 8,927,906 = 8,927,906 : x
  2. Step 2: Convert to fraction form
    4,102,734/8,927,906 = 8,927,906/x
  3. Step 3: Cross multiply
    4,102,734x = 8,927,906 × 8,927,906
  4. Step 4: Simplify right side
    4,102,734x = 79,707,505,544,836
  5. Step 5: Solve for x
    x = 79,707,505,544,836/4,102,734
  6. Step 6: Final answer
    x = 19,427,899.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.