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Finding the Third Proportional to 9,788,769 and 20,994,228

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Solution

The third proportional to 9,788,769 and 20,994,228 is: 45,026,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788,769 : 20,994,228 = 20,994,228 : x
  2. Step 2: Convert to fraction form
    9,788,769/20,994,228 = 20,994,228/x
  3. Step 3: Cross multiply
    9,788,769x = 20,994,228 × 20,994,228
  4. Step 4: Simplify right side
    9,788,769x = 440,757,609,315,984
  5. Step 5: Solve for x
    x = 440,757,609,315,984/9,788,769
  6. Step 6: Final answer
    x = 45,026,867.97

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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.