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Finding the Third Proportional to 224,835,309 and 501,367,518

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Solution

The third proportional to 224,835,309 and 501,367,518 is: 1,118,015,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,835,309 : 501,367,518 = 501,367,518 : x
  2. Step 2: Convert to fraction form
    224,835,309/501,367,518 = 501,367,518/x
  3. Step 3: Cross multiply
    224,835,309x = 501,367,518 × 501,367,518
  4. Step 4: Simplify right side
    224,835,309x = 251,369,388,105,480,320
  5. Step 5: Solve for x
    x = 251,369,388,105,480,320/224,835,309
  6. Step 6: Final answer
    x = 1,118,015,623.18

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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.