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Finding the Third Proportional to 9,712,467 and 20,221,548.75

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Solution

The third proportional to 9,712,467 and 20,221,548.75 is: 42,101,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,467 : 20,221,548.75 = 20,221,548.75 : x
  2. Step 2: Convert to fraction form
    9,712,467/20,221,548.75 = 20,221,548.75/x
  3. Step 3: Cross multiply
    9,712,467x = 20,221,548.75 × 20,221,548.75
  4. Step 4: Simplify right side
    9,712,467x = 408,911,033,848,626.56
  5. Step 5: Solve for x
    x = 408,911,033,848,626.56/9,712,467
  6. Step 6: Final answer
    x = 42,101,665.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.