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Finding the Third Proportional to 11,178,459 and 22,768,002

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Solution

The third proportional to 11,178,459 and 22,768,002 is: 46,373,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178,459 : 22,768,002 = 22,768,002 : x
  2. Step 2: Convert to fraction form
    11,178,459/22,768,002 = 22,768,002/x
  3. Step 3: Cross multiply
    11,178,459x = 22,768,002 × 22,768,002
  4. Step 4: Simplify right side
    11,178,459x = 518,381,915,072,004
  5. Step 5: Solve for x
    x = 518,381,915,072,004/11,178,459
  6. Step 6: Final answer
    x = 46,373,289.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.