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Finding the Third Proportional to 9,096,756 and 19,728,369

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Solution

The third proportional to 9,096,756 and 19,728,369 is: 42,785,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096,756 : 19,728,369 = 19,728,369 : x
  2. Step 2: Convert to fraction form
    9,096,756/19,728,369 = 19,728,369/x
  3. Step 3: Cross multiply
    9,096,756x = 19,728,369 × 19,728,369
  4. Step 4: Simplify right side
    9,096,756x = 389,208,543,400,161
  5. Step 5: Solve for x
    x = 389,208,543,400,161/9,096,756
  6. Step 6: Final answer
    x = 42,785,421.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.