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Finding the Third Proportional to 5,681,880 and 12,207,024

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Solution

The third proportional to 5,681,880 and 12,207,024 is: 26,225,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681,880 : 12,207,024 = 12,207,024 : x
  2. Step 2: Convert to fraction form
    5,681,880/12,207,024 = 12,207,024/x
  3. Step 3: Cross multiply
    5,681,880x = 12,207,024 × 12,207,024
  4. Step 4: Simplify right side
    5,681,880x = 149,011,434,936,576
  5. Step 5: Solve for x
    x = 149,011,434,936,576/5,681,880
  6. Step 6: Final answer
    x = 26,225,727.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.