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Finding the Third Proportional to 7,288,628 and 11,314,934

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Solution

The third proportional to 7,288,628 and 11,314,934 is: 17,565,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288,628 : 11,314,934 = 11,314,934 : x
  2. Step 2: Convert to fraction form
    7,288,628/11,314,934 = 11,314,934/x
  3. Step 3: Cross multiply
    7,288,628x = 11,314,934 × 11,314,934
  4. Step 4: Simplify right side
    7,288,628x = 128,027,731,424,356
  5. Step 5: Solve for x
    x = 128,027,731,424,356/7,288,628
  6. Step 6: Final answer
    x = 17,565,408.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.