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Finding the Third Proportional to 11,052,292 and 23,784,201

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Solution

The third proportional to 11,052,292 and 23,784,201 is: 51,182,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052,292 : 23,784,201 = 23,784,201 : x
  2. Step 2: Convert to fraction form
    11,052,292/23,784,201 = 23,784,201/x
  3. Step 3: Cross multiply
    11,052,292x = 23,784,201 × 23,784,201
  4. Step 4: Simplify right side
    11,052,292x = 565,688,217,208,401
  5. Step 5: Solve for x
    x = 565,688,217,208,401/11,052,292
  6. Step 6: Final answer
    x = 51,182,887.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.