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Finding the Third Proportional to 9,768,608 and 14,360,218

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Solution

The third proportional to 9,768,608 and 14,360,218 is: 21,110,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,608 : 14,360,218 = 14,360,218 : x
  2. Step 2: Convert to fraction form
    9,768,608/14,360,218 = 14,360,218/x
  3. Step 3: Cross multiply
    9,768,608x = 14,360,218 × 14,360,218
  4. Step 4: Simplify right side
    9,768,608x = 206,215,861,007,524
  5. Step 5: Solve for x
    x = 206,215,861,007,524/9,768,608
  6. Step 6: Final answer
    x = 21,110,055.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.