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Finding the Third Proportional to 6,062,784 and 12,965,880

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Solution

The third proportional to 6,062,784 and 12,965,880 is: 27,728,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062,784 : 12,965,880 = 12,965,880 : x
  2. Step 2: Convert to fraction form
    6,062,784/12,965,880 = 12,965,880/x
  3. Step 3: Cross multiply
    6,062,784x = 12,965,880 × 12,965,880
  4. Step 4: Simplify right side
    6,062,784x = 168,114,044,174,400
  5. Step 5: Solve for x
    x = 168,114,044,174,400/6,062,784
  6. Step 6: Final answer
    x = 27,728,852.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.