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Finding the Third Proportional to 5,055,709.50 and 10,820,007

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Solution

The third proportional to 5,055,709.50 and 10,820,007 is: 23,156,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055,709.50 : 10,820,007 = 10,820,007 : x
  2. Step 2: Convert to fraction form
    5,055,709.50/10,820,007 = 10,820,007/x
  3. Step 3: Cross multiply
    5,055,709.50x = 10,820,007 × 10,820,007
  4. Step 4: Simplify right side
    5,055,709.50x = 117,072,551,480,049
  5. Step 5: Solve for x
    x = 117,072,551,480,049/5,055,709.50
  6. Step 6: Final answer
    x = 23,156,502.86

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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.