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Finding the Third Proportional to 2,472,741 and 5,272,101

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Solution

The third proportional to 2,472,741 and 5,272,101 is: 11,240,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,741 : 5,272,101 = 5,272,101 : x
  2. Step 2: Convert to fraction form
    2,472,741/5,272,101 = 5,272,101/x
  3. Step 3: Cross multiply
    2,472,741x = 5,272,101 × 5,272,101
  4. Step 4: Simplify right side
    2,472,741x = 27,795,048,954,201
  5. Step 5: Solve for x
    x = 27,795,048,954,201/2,472,741
  6. Step 6: Final answer
    x = 11,240,582.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.