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Finding the Third Proportional to 5,266,656 and 11,332,512

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Solution

The third proportional to 5,266,656 and 11,332,512 is: 24,384,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266,656 : 11,332,512 = 11,332,512 : x
  2. Step 2: Convert to fraction form
    5,266,656/11,332,512 = 11,332,512/x
  3. Step 3: Cross multiply
    5,266,656x = 11,332,512 × 11,332,512
  4. Step 4: Simplify right side
    5,266,656x = 128,425,828,230,144
  5. Step 5: Solve for x
    x = 128,425,828,230,144/5,266,656
  6. Step 6: Final answer
    x = 24,384,700.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.