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Finding the Third Proportional to 9,277,313 and 14,155,923

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Solution

The third proportional to 9,277,313 and 14,155,923 is: 21,600,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,313 : 14,155,923 = 14,155,923 : x
  2. Step 2: Convert to fraction form
    9,277,313/14,155,923 = 14,155,923/x
  3. Step 3: Cross multiply
    9,277,313x = 14,155,923 × 14,155,923
  4. Step 4: Simplify right side
    9,277,313x = 200,390,155,981,929
  5. Step 5: Solve for x
    x = 200,390,155,981,929/9,277,313
  6. Step 6: Final answer
    x = 21,600,021.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.