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Finding the Third Proportional to 11,586,240 and 16,205,952

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Solution

The third proportional to 11,586,240 and 16,205,952 is: 22,667,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586,240 : 16,205,952 = 16,205,952 : x
  2. Step 2: Convert to fraction form
    11,586,240/16,205,952 = 16,205,952/x
  3. Step 3: Cross multiply
    11,586,240x = 16,205,952 × 16,205,952
  4. Step 4: Simplify right side
    11,586,240x = 262,632,880,226,304
  5. Step 5: Solve for x
    x = 262,632,880,226,304/11,586,240
  6. Step 6: Final answer
    x = 22,667,654.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.