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Finding the Third Proportional to 9,797,410.13 and 20,762,859.38

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Solution

The third proportional to 9,797,410.13 and 20,762,859.38 is: 44,001,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797,410.13 : 20,762,859.38 = 20,762,859.38 : x
  2. Step 2: Convert to fraction form
    9,797,410.13/20,762,859.38 = 20,762,859.38/x
  3. Step 3: Cross multiply
    9,797,410.13x = 20,762,859.38 × 20,762,859.38
  4. Step 4: Simplify right side
    9,797,410.13x = 431,096,329,426,025.38
  5. Step 5: Solve for x
    x = 431,096,329,426,025.38/9,797,410.13
  6. Step 6: Final answer
    x = 44,001,049.66

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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.