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Finding the Third Proportional to 9,789,597 and 20,746,193

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Solution

The third proportional to 9,789,597 and 20,746,193 is: 43,965,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789,597 : 20,746,193 = 20,746,193 : x
  2. Step 2: Convert to fraction form
    9,789,597/20,746,193 = 20,746,193/x
  3. Step 3: Cross multiply
    9,789,597x = 20,746,193 × 20,746,193
  4. Step 4: Simplify right side
    9,789,597x = 430,404,523,993,249
  5. Step 5: Solve for x
    x = 430,404,523,993,249/9,789,597
  6. Step 6: Final answer
    x = 43,965,499.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.