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Finding the Third Proportional to 9,769,784 and 20,884,093

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Solution

The third proportional to 9,769,784 and 20,884,093 is: 44,642,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769,784 : 20,884,093 = 20,884,093 : x
  2. Step 2: Convert to fraction form
    9,769,784/20,884,093 = 20,884,093/x
  3. Step 3: Cross multiply
    9,769,784x = 20,884,093 × 20,884,093
  4. Step 4: Simplify right side
    9,769,784x = 436,145,340,432,649
  5. Step 5: Solve for x
    x = 436,145,340,432,649/9,769,784
  6. Step 6: Final answer
    x = 44,642,270.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.