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Finding the Third Proportional to 7,706,867 and 16,939,180

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Solution

The third proportional to 7,706,867 and 16,939,180 is: 37,231,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706,867 : 16,939,180 = 16,939,180 : x
  2. Step 2: Convert to fraction form
    7,706,867/16,939,180 = 16,939,180/x
  3. Step 3: Cross multiply
    7,706,867x = 16,939,180 × 16,939,180
  4. Step 4: Simplify right side
    7,706,867x = 286,935,819,072,400
  5. Step 5: Solve for x
    x = 286,935,819,072,400/7,706,867
  6. Step 6: Final answer
    x = 37,231,188.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.