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Finding the Third Proportional to 224,835,311 and 501,367,522

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Solution

The third proportional to 224,835,311 and 501,367,522 is: 1,118,015,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,835,311 : 501,367,522 = 501,367,522 : x
  2. Step 2: Convert to fraction form
    224,835,311/501,367,522 = 501,367,522/x
  3. Step 3: Cross multiply
    224,835,311x = 501,367,522 × 501,367,522
  4. Step 4: Simplify right side
    224,835,311x = 251,369,392,116,420,480
  5. Step 5: Solve for x
    x = 251,369,392,116,420,480/224,835,311
  6. Step 6: Final answer
    x = 1,118,015,631.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.