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Finding the Third Proportional to 9,228,416 and 20,194,484

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Solution

The third proportional to 9,228,416 and 20,194,484 is: 44,191,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228,416 : 20,194,484 = 20,194,484 : x
  2. Step 2: Convert to fraction form
    9,228,416/20,194,484 = 20,194,484/x
  3. Step 3: Cross multiply
    9,228,416x = 20,194,484 × 20,194,484
  4. Step 4: Simplify right side
    9,228,416x = 407,817,184,026,256
  5. Step 5: Solve for x
    x = 407,817,184,026,256/9,228,416
  6. Step 6: Final answer
    x = 44,191,460.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.