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Finding the Third Proportional to 27,065,014 and 39,104,270

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Solution

The third proportional to 27,065,014 and 39,104,270 is: 56,498,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065,014 : 39,104,270 = 39,104,270 : x
  2. Step 2: Convert to fraction form
    27,065,014/39,104,270 = 39,104,270/x
  3. Step 3: Cross multiply
    27,065,014x = 39,104,270 × 39,104,270
  4. Step 4: Simplify right side
    27,065,014x = 1,529,143,932,232,900
  5. Step 5: Solve for x
    x = 1,529,143,932,232,900/27,065,014
  6. Step 6: Final answer
    x = 56,498,915.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.