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Finding the Third Proportional to 8,556,538 and 20,178,513.75

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Solution

The third proportional to 8,556,538 and 20,178,513.75 is: 47,586,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556,538 : 20,178,513.75 = 20,178,513.75 : x
  2. Step 2: Convert to fraction form
    8,556,538/20,178,513.75 = 20,178,513.75/x
  3. Step 3: Cross multiply
    8,556,538x = 20,178,513.75 × 20,178,513.75
  4. Step 4: Simplify right side
    8,556,538x = 407,172,417,158,939.06
  5. Step 5: Solve for x
    x = 407,172,417,158,939.06/8,556,538
  6. Step 6: Final answer
    x = 47,586,116.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.