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Finding the Third Proportional to 220,612,984 and 484,989,296

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Solution

The third proportional to 220,612,984 and 484,989,296 is: 1,066,186,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,612,984 : 484,989,296 = 484,989,296 : x
  2. Step 2: Convert to fraction form
    220,612,984/484,989,296 = 484,989,296/x
  3. Step 3: Cross multiply
    220,612,984x = 484,989,296 × 484,989,296
  4. Step 4: Simplify right side
    220,612,984x = 235,214,617,234,575,616
  5. Step 5: Solve for x
    x = 235,214,617,234,575,616/220,612,984
  6. Step 6: Final answer
    x = 1,066,186,644.91

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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.