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Finding the Third Proportional to 5,748,534 and 12,517,668

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Solution

The third proportional to 5,748,534 and 12,517,668 is: 27,257,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,534 : 12,517,668 = 12,517,668 : x
  2. Step 2: Convert to fraction form
    5,748,534/12,517,668 = 12,517,668/x
  3. Step 3: Cross multiply
    5,748,534x = 12,517,668 × 12,517,668
  4. Step 4: Simplify right side
    5,748,534x = 156,692,012,158,224
  5. Step 5: Solve for x
    x = 156,692,012,158,224/5,748,534
  6. Step 6: Final answer
    x = 27,257,734.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.