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Finding the Third Proportional to 7,069,464 and 11,212,182

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Solution

The third proportional to 7,069,464 and 11,212,182 is: 17,782,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069,464 : 11,212,182 = 11,212,182 : x
  2. Step 2: Convert to fraction form
    7,069,464/11,212,182 = 11,212,182/x
  3. Step 3: Cross multiply
    7,069,464x = 11,212,182 × 11,212,182
  4. Step 4: Simplify right side
    7,069,464x = 125,713,025,201,124
  5. Step 5: Solve for x
    x = 125,713,025,201,124/7,069,464
  6. Step 6: Final answer
    x = 17,782,539.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.