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Finding the Third Proportional to 220,612,976 and 484,989,280

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Solution

The third proportional to 220,612,976 and 484,989,280 is: 1,066,186,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,612,976 : 484,989,280 = 484,989,280 : x
  2. Step 2: Convert to fraction form
    220,612,976/484,989,280 = 484,989,280/x
  3. Step 3: Cross multiply
    220,612,976x = 484,989,280 × 484,989,280
  4. Step 4: Simplify right side
    220,612,976x = 235,214,601,714,918,400
  5. Step 5: Solve for x
    x = 235,214,601,714,918,400/220,612,976
  6. Step 6: Final answer
    x = 1,066,186,613.22

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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.