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Finding the Third Proportional to 9,041,769 and 19,533,845

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Solution

The third proportional to 9,041,769 and 19,533,845 is: 42,200,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041,769 : 19,533,845 = 19,533,845 : x
  2. Step 2: Convert to fraction form
    9,041,769/19,533,845 = 19,533,845/x
  3. Step 3: Cross multiply
    9,041,769x = 19,533,845 × 19,533,845
  4. Step 4: Simplify right side
    9,041,769x = 381,571,100,484,025
  5. Step 5: Solve for x
    x = 381,571,100,484,025/9,041,769
  6. Step 6: Final answer
    x = 42,200,934.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.