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Finding the Third Proportional to 5,055,710.50 and 10,820,009

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Solution

The third proportional to 5,055,710.50 and 10,820,009 is: 23,156,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055,710.50 : 10,820,009 = 10,820,009 : x
  2. Step 2: Convert to fraction form
    5,055,710.50/10,820,009 = 10,820,009/x
  3. Step 3: Cross multiply
    5,055,710.50x = 10,820,009 × 10,820,009
  4. Step 4: Simplify right side
    5,055,710.50x = 117,072,594,760,081
  5. Step 5: Solve for x
    x = 117,072,594,760,081/5,055,710.50
  6. Step 6: Final answer
    x = 23,156,506.84

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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.