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Finding the Third Proportional to 14,382,014 and 30,811,056

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Solution

The third proportional to 14,382,014 and 30,811,056 is: 66,007,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382,014 : 30,811,056 = 30,811,056 : x
  2. Step 2: Convert to fraction form
    14,382,014/30,811,056 = 30,811,056/x
  3. Step 3: Cross multiply
    14,382,014x = 30,811,056 × 30,811,056
  4. Step 4: Simplify right side
    14,382,014x = 949,321,171,835,136
  5. Step 5: Solve for x
    x = 949,321,171,835,136/14,382,014
  6. Step 6: Final answer
    x = 66,007,526.61

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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.