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Finding the Third Proportional to 35,398,268 and 77,821,240

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Solution

The third proportional to 35,398,268 and 77,821,240 is: 171,085,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,398,268 : 77,821,240 = 77,821,240 : x
  2. Step 2: Convert to fraction form
    35,398,268/77,821,240 = 77,821,240/x
  3. Step 3: Cross multiply
    35,398,268x = 77,821,240 × 77,821,240
  4. Step 4: Simplify right side
    35,398,268x = 6,056,145,395,137,600
  5. Step 5: Solve for x
    x = 6,056,145,395,137,600/35,398,268
  6. Step 6: Final answer
    x = 171,085,924.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.