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Finding the Third Proportional to 9,277,309 and 14,155,917

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Solution

The third proportional to 9,277,309 and 14,155,917 is: 21,600,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,309 : 14,155,917 = 14,155,917 : x
  2. Step 2: Convert to fraction form
    9,277,309/14,155,917 = 14,155,917/x
  3. Step 3: Cross multiply
    9,277,309x = 14,155,917 × 14,155,917
  4. Step 4: Simplify right side
    9,277,309x = 200,389,986,110,889
  5. Step 5: Solve for x
    x = 200,389,986,110,889/9,277,309
  6. Step 6: Final answer
    x = 21,600,012.04

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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.