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Finding the Third Proportional to 5,150,709 and 10,725,299

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Solution

The third proportional to 5,150,709 and 10,725,299 is: 22,333,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150,709 : 10,725,299 = 10,725,299 : x
  2. Step 2: Convert to fraction form
    5,150,709/10,725,299 = 10,725,299/x
  3. Step 3: Cross multiply
    5,150,709x = 10,725,299 × 10,725,299
  4. Step 4: Simplify right side
    5,150,709x = 115,032,038,639,401
  5. Step 5: Solve for x
    x = 115,032,038,639,401/5,150,709
  6. Step 6: Final answer
    x = 22,333,243.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.