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Finding the Third Proportional to 7,288,626 and 11,314,931

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Solution

The third proportional to 7,288,626 and 11,314,931 is: 17,565,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288,626 : 11,314,931 = 11,314,931 : x
  2. Step 2: Convert to fraction form
    7,288,626/11,314,931 = 11,314,931/x
  3. Step 3: Cross multiply
    7,288,626x = 11,314,931 × 11,314,931
  4. Step 4: Simplify right side
    7,288,626x = 128,027,663,534,761
  5. Step 5: Solve for x
    x = 128,027,663,534,761/7,288,626
  6. Step 6: Final answer
    x = 17,565,404.44

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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.