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Finding the Third Proportional to 9,206,796 and 13,938,132

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Solution

The third proportional to 9,206,796 and 13,938,132 is: 21,100,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206,796 : 13,938,132 = 13,938,132 : x
  2. Step 2: Convert to fraction form
    9,206,796/13,938,132 = 13,938,132/x
  3. Step 3: Cross multiply
    9,206,796x = 13,938,132 × 13,938,132
  4. Step 4: Simplify right side
    9,206,796x = 194,271,523,649,424
  5. Step 5: Solve for x
    x = 194,271,523,649,424/9,206,796
  6. Step 6: Final answer
    x = 21,100,882.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.