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Finding the Third Proportional to 6,095,648 and 13,242,110

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Solution

The third proportional to 6,095,648 and 13,242,110 is: 28,766,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095,648 : 13,242,110 = 13,242,110 : x
  2. Step 2: Convert to fraction form
    6,095,648/13,242,110 = 13,242,110/x
  3. Step 3: Cross multiply
    6,095,648x = 13,242,110 × 13,242,110
  4. Step 4: Simplify right side
    6,095,648x = 175,353,477,252,100
  5. Step 5: Solve for x
    x = 175,353,477,252,100/6,095,648
  6. Step 6: Final answer
    x = 28,766,995.28

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Why These Related Problems?

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