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Finding the Third Proportional to 9,911,628 and 13,957,966

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Solution

The third proportional to 9,911,628 and 13,957,966 is: 19,656,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911,628 : 13,957,966 = 13,957,966 : x
  2. Step 2: Convert to fraction form
    9,911,628/13,957,966 = 13,957,966/x
  3. Step 3: Cross multiply
    9,911,628x = 13,957,966 × 13,957,966
  4. Step 4: Simplify right side
    9,911,628x = 194,824,814,857,156
  5. Step 5: Solve for x
    x = 194,824,814,857,156/9,911,628
  6. Step 6: Final answer
    x = 19,656,187.14

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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.