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Finding the Third Proportional to 4,569,422 and 9,725,668

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Solution

The third proportional to 4,569,422 and 9,725,668 is: 20,700,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569,422 : 9,725,668 = 9,725,668 : x
  2. Step 2: Convert to fraction form
    4,569,422/9,725,668 = 9,725,668/x
  3. Step 3: Cross multiply
    4,569,422x = 9,725,668 × 9,725,668
  4. Step 4: Simplify right side
    4,569,422x = 94,588,618,046,224
  5. Step 5: Solve for x
    x = 94,588,618,046,224/4,569,422
  6. Step 6: Final answer
    x = 20,700,346.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.