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Finding the Third Proportional to 5,671,339 and 12,444,743

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Solution

The third proportional to 5,671,339 and 12,444,743 is: 27,307,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,339 : 12,444,743 = 12,444,743 : x
  2. Step 2: Convert to fraction form
    5,671,339/12,444,743 = 12,444,743/x
  3. Step 3: Cross multiply
    5,671,339x = 12,444,743 × 12,444,743
  4. Step 4: Simplify right side
    5,671,339x = 154,871,628,336,049
  5. Step 5: Solve for x
    x = 154,871,628,336,049/5,671,339
  6. Step 6: Final answer
    x = 27,307,771.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.