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Finding the Third Proportional to 2,771,664 and 6,072,960

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Solution

The third proportional to 2,771,664 and 6,072,960 is: 13,306,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,664 : 6,072,960 = 6,072,960 : x
  2. Step 2: Convert to fraction form
    2,771,664/6,072,960 = 6,072,960/x
  3. Step 3: Cross multiply
    2,771,664x = 6,072,960 × 6,072,960
  4. Step 4: Simplify right side
    2,771,664x = 36,880,843,161,600
  5. Step 5: Solve for x
    x = 36,880,843,161,600/2,771,664
  6. Step 6: Final answer
    x = 13,306,390.37

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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.