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Finding the Third Proportional to 4,606,253,812 and 9,946,494,074

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Solution

The third proportional to 4,606,253,812 and 9,946,494,074 is: 21,477,918,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606,253,812 : 9,946,494,074 = 9,946,494,074 : x
  2. Step 2: Convert to fraction form
    4,606,253,812/9,946,494,074 = 9,946,494,074/x
  3. Step 3: Cross multiply
    4,606,253,812x = 9,946,494,074 × 9,946,494,074
  4. Step 4: Simplify right side
    4,606,253,812x = 98,932,744,364,117,114,880
  5. Step 5: Solve for x
    x = 98,932,744,364,117,114,880/4,606,253,812
  6. Step 6: Final answer
    x = 21,477,918,586.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.