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Finding the Third Proportional to 27,005,896 and 38,590,716

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Solution

The third proportional to 27,005,896 and 38,590,716 is: 55,145,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005,896 : 38,590,716 = 38,590,716 : x
  2. Step 2: Convert to fraction form
    27,005,896/38,590,716 = 38,590,716/x
  3. Step 3: Cross multiply
    27,005,896x = 38,590,716 × 38,590,716
  4. Step 4: Simplify right side
    27,005,896x = 1,489,243,361,392,656
  5. Step 5: Solve for x
    x = 1,489,243,361,392,656/27,005,896
  6. Step 6: Final answer
    x = 55,145,119.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.