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Finding the Third Proportional to 12,268,083 and 18,574,060.50

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Solution

The third proportional to 12,268,083 and 18,574,060.50 is: 28,121,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268,083 : 18,574,060.50 = 18,574,060.50 : x
  2. Step 2: Convert to fraction form
    12,268,083/18,574,060.50 = 18,574,060.50/x
  3. Step 3: Cross multiply
    12,268,083x = 18,574,060.50 × 18,574,060.50
  4. Step 4: Simplify right side
    12,268,083x = 344,995,723,457,660.25
  5. Step 5: Solve for x
    x = 344,995,723,457,660.25/12,268,083
  6. Step 6: Final answer
    x = 28,121,404.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.