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Finding the Third Proportional to 5,055,710 and 10,820,008

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Solution

The third proportional to 5,055,710 and 10,820,008 is: 23,156,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055,710 : 10,820,008 = 10,820,008 : x
  2. Step 2: Convert to fraction form
    5,055,710/10,820,008 = 10,820,008/x
  3. Step 3: Cross multiply
    5,055,710x = 10,820,008 × 10,820,008
  4. Step 4: Simplify right side
    5,055,710x = 117,072,573,120,064
  5. Step 5: Solve for x
    x = 117,072,573,120,064/5,055,710
  6. Step 6: Final answer
    x = 23,156,504.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.