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Finding the Third Proportional to 5,264,698 and 11,498,276

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Solution

The third proportional to 5,264,698 and 11,498,276 is: 25,112,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264,698 : 11,498,276 = 11,498,276 : x
  2. Step 2: Convert to fraction form
    5,264,698/11,498,276 = 11,498,276/x
  3. Step 3: Cross multiply
    5,264,698x = 11,498,276 × 11,498,276
  4. Step 4: Simplify right side
    5,264,698x = 132,210,350,972,176
  5. Step 5: Solve for x
    x = 132,210,350,972,176/5,264,698
  6. Step 6: Final answer
    x = 25,112,618.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.