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Finding the Third Proportional to 2,571,247 and 5,484,213

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Solution

The third proportional to 2,571,247 and 5,484,213 is: 11,697,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571,247 : 5,484,213 = 5,484,213 : x
  2. Step 2: Convert to fraction form
    2,571,247/5,484,213 = 5,484,213/x
  3. Step 3: Cross multiply
    2,571,247x = 5,484,213 × 5,484,213
  4. Step 4: Simplify right side
    2,571,247x = 30,076,592,229,369
  5. Step 5: Solve for x
    x = 30,076,592,229,369/2,571,247
  6. Step 6: Final answer
    x = 11,697,278.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.