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Finding the Third Proportional to 6,024,867 and 13,271,943

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Solution

The third proportional to 6,024,867 and 13,271,943 is: 29,236,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024,867 : 13,271,943 = 13,271,943 : x
  2. Step 2: Convert to fraction form
    6,024,867/13,271,943 = 13,271,943/x
  3. Step 3: Cross multiply
    6,024,867x = 13,271,943 × 13,271,943
  4. Step 4: Simplify right side
    6,024,867x = 176,144,470,995,249
  5. Step 5: Solve for x
    x = 176,144,470,995,249/6,024,867
  6. Step 6: Final answer
    x = 29,236,242.23

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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.