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Finding the Third Proportional to 4,736,668 and 10,418,120

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Solution

The third proportional to 4,736,668 and 10,418,120 is: 22,914,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736,668 : 10,418,120 = 10,418,120 : x
  2. Step 2: Convert to fraction form
    4,736,668/10,418,120 = 10,418,120/x
  3. Step 3: Cross multiply
    4,736,668x = 10,418,120 × 10,418,120
  4. Step 4: Simplify right side
    4,736,668x = 108,537,224,334,400
  5. Step 5: Solve for x
    x = 108,537,224,334,400/4,736,668
  6. Step 6: Final answer
    x = 22,914,256.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.