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Finding the Third Proportional to 9,788,771 and 20,994,232

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Solution

The third proportional to 9,788,771 and 20,994,232 is: 45,026,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788,771 : 20,994,232 = 20,994,232 : x
  2. Step 2: Convert to fraction form
    9,788,771/20,994,232 = 20,994,232/x
  3. Step 3: Cross multiply
    9,788,771x = 20,994,232 × 20,994,232
  4. Step 4: Simplify right side
    9,788,771x = 440,757,777,269,824
  5. Step 5: Solve for x
    x = 440,757,777,269,824/9,788,771
  6. Step 6: Final answer
    x = 45,026,875.92

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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.