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Finding the Third Proportional to 27,048,834 and 41,889,824

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Solution

The third proportional to 27,048,834 and 41,889,824 is: 64,873,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048,834 : 41,889,824 = 41,889,824 : x
  2. Step 2: Convert to fraction form
    27,048,834/41,889,824 = 41,889,824/x
  3. Step 3: Cross multiply
    27,048,834x = 41,889,824 × 41,889,824
  4. Step 4: Simplify right side
    27,048,834x = 1,754,757,354,750,976
  5. Step 5: Solve for x
    x = 1,754,757,354,750,976/27,048,834
  6. Step 6: Final answer
    x = 64,873,678.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.