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Finding the Third Proportional to 5,718,420 and 12,574,080

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Solution

The third proportional to 5,718,420 and 12,574,080 is: 27,648,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718,420 : 12,574,080 = 12,574,080 : x
  2. Step 2: Convert to fraction form
    5,718,420/12,574,080 = 12,574,080/x
  3. Step 3: Cross multiply
    5,718,420x = 12,574,080 × 12,574,080
  4. Step 4: Simplify right side
    5,718,420x = 158,107,487,846,400
  5. Step 5: Solve for x
    x = 158,107,487,846,400/5,718,420
  6. Step 6: Final answer
    x = 27,648,806.46

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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.