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Finding the Third Proportional to 7,709,926 and 11,566,361

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Solution

The third proportional to 7,709,926 and 11,566,361 is: 17,351,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709,926 : 11,566,361 = 11,566,361 : x
  2. Step 2: Convert to fraction form
    7,709,926/11,566,361 = 11,566,361/x
  3. Step 3: Cross multiply
    7,709,926x = 11,566,361 × 11,566,361
  4. Step 4: Simplify right side
    7,709,926x = 133,780,706,782,321
  5. Step 5: Solve for x
    x = 133,780,706,782,321/7,709,926
  6. Step 6: Final answer
    x = 17,351,749.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.