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Finding the Third Proportional to 231,282,445 and 504,946,876

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Solution

The third proportional to 231,282,445 and 504,946,876 is: 1,102,424,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,282,445 : 504,946,876 = 504,946,876 : x
  2. Step 2: Convert to fraction form
    231,282,445/504,946,876 = 504,946,876/x
  3. Step 3: Cross multiply
    231,282,445x = 504,946,876 × 504,946,876
  4. Step 4: Simplify right side
    231,282,445x = 254,971,347,582,159,360
  5. Step 5: Solve for x
    x = 254,971,347,582,159,360/231,282,445
  6. Step 6: Final answer
    x = 1,102,424,127.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.