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Finding the Third Proportional to 7,899,822 and 11,798,055

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Solution

The third proportional to 7,899,822 and 11,798,055 is: 17,619,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899,822 : 11,798,055 = 11,798,055 : x
  2. Step 2: Convert to fraction form
    7,899,822/11,798,055 = 11,798,055/x
  3. Step 3: Cross multiply
    7,899,822x = 11,798,055 × 11,798,055
  4. Step 4: Simplify right side
    7,899,822x = 139,194,101,783,025
  5. Step 5: Solve for x
    x = 139,194,101,783,025/7,899,822
  6. Step 6: Final answer
    x = 17,619,903.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.