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Finding the Third Proportional to 8,441,101 and 17,180,516

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Solution

The third proportional to 8,441,101 and 17,180,516 is: 34,968,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441,101 : 17,180,516 = 17,180,516 : x
  2. Step 2: Convert to fraction form
    8,441,101/17,180,516 = 17,180,516/x
  3. Step 3: Cross multiply
    8,441,101x = 17,180,516 × 17,180,516
  4. Step 4: Simplify right side
    8,441,101x = 295,170,130,026,256
  5. Step 5: Solve for x
    x = 295,170,130,026,256/8,441,101
  6. Step 6: Final answer
    x = 34,968,202.61

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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.