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Finding the Third Proportional to 7,294,262 and 16,884,917

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Solution

The third proportional to 7,294,262 and 16,884,917 is: 39,085,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,262 : 16,884,917 = 16,884,917 : x
  2. Step 2: Convert to fraction form
    7,294,262/16,884,917 = 16,884,917/x
  3. Step 3: Cross multiply
    7,294,262x = 16,884,917 × 16,884,917
  4. Step 4: Simplify right side
    7,294,262x = 285,100,422,096,889
  5. Step 5: Solve for x
    x = 285,100,422,096,889/7,294,262
  6. Step 6: Final answer
    x = 39,085,574.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.