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Finding the Third Proportional to 10,580,326 and 15,829,441

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Solution

The third proportional to 10,580,326 and 15,829,441 is: 23,682,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580,326 : 15,829,441 = 15,829,441 : x
  2. Step 2: Convert to fraction form
    10,580,326/15,829,441 = 15,829,441/x
  3. Step 3: Cross multiply
    10,580,326x = 15,829,441 × 15,829,441
  4. Step 4: Simplify right side
    10,580,326x = 250,571,202,372,481
  5. Step 5: Solve for x
    x = 250,571,202,372,481/10,580,326
  6. Step 6: Final answer
    x = 23,682,748.75

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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.