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Finding the Third Proportional to 2,476,415 and 5,365,021

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Solution

The third proportional to 2,476,415 and 5,365,021 is: 11,623,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476,415 : 5,365,021 = 5,365,021 : x
  2. Step 2: Convert to fraction form
    2,476,415/5,365,021 = 5,365,021/x
  3. Step 3: Cross multiply
    2,476,415x = 5,365,021 × 5,365,021
  4. Step 4: Simplify right side
    2,476,415x = 28,783,450,330,441
  5. Step 5: Solve for x
    x = 28,783,450,330,441/2,476,415
  6. Step 6: Final answer
    x = 11,623,031.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.