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Finding the Third Proportional to 9,911,626 and 13,957,963

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Solution

The third proportional to 9,911,626 and 13,957,963 is: 19,656,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911,626 : 13,957,963 = 13,957,963 : x
  2. Step 2: Convert to fraction form
    9,911,626/13,957,963 = 13,957,963/x
  3. Step 3: Cross multiply
    9,911,626x = 13,957,963 × 13,957,963
  4. Step 4: Simplify right side
    9,911,626x = 194,824,731,109,369
  5. Step 5: Solve for x
    x = 194,824,731,109,369/9,911,626
  6. Step 6: Final answer
    x = 19,656,182.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.