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Finding the Third Proportional to 248,483,024 and 540,598,879

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Solution

The third proportional to 248,483,024 and 540,598,879 is: 1,176,125,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,483,024 : 540,598,879 = 540,598,879 : x
  2. Step 2: Convert to fraction form
    248,483,024/540,598,879 = 540,598,879/x
  3. Step 3: Cross multiply
    248,483,024x = 540,598,879 × 540,598,879
  4. Step 4: Simplify right side
    248,483,024x = 292,247,147,976,056,640
  5. Step 5: Solve for x
    x = 292,247,147,976,056,640/248,483,024
  6. Step 6: Final answer
    x = 1,176,125,206.75

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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.