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Finding the Third Proportional to 11,917,509.75 and 16,867,928.53

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Solution

The third proportional to 11,917,509.75 and 16,867,928.53 is: 23,874,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917,509.75 : 16,867,928.53 = 16,867,928.53 : x
  2. Step 2: Convert to fraction form
    11,917,509.75/16,867,928.53 = 16,867,928.53/x
  3. Step 3: Cross multiply
    11,917,509.75x = 16,867,928.53 × 16,867,928.53
  4. Step 4: Simplify right side
    11,917,509.75x = 284,527,012,935,357.81
  5. Step 5: Solve for x
    x = 284,527,012,935,357.81/11,917,509.75
  6. Step 6: Final answer
    x = 23,874,703.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.