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Finding the Third Proportional to 2,627,880 and 5,665,944

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Solution

The third proportional to 2,627,880 and 5,665,944 is: 12,216,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627,880 : 5,665,944 = 5,665,944 : x
  2. Step 2: Convert to fraction form
    2,627,880/5,665,944 = 5,665,944/x
  3. Step 3: Cross multiply
    2,627,880x = 5,665,944 × 5,665,944
  4. Step 4: Simplify right side
    2,627,880x = 32,102,921,411,136
  5. Step 5: Solve for x
    x = 32,102,921,411,136/2,627,880
  6. Step 6: Final answer
    x = 12,216,281.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.