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Finding the Third Proportional to 962,370,245,568 and 2,039,477,490,333

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Solution

The third proportional to 962,370,245,568 and 2,039,477,490,333 is: 4,322,108,307,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,370,245,568 : 2,039,477,490,333 = 2,039,477,490,333 : x
  2. Step 2: Convert to fraction form
    962,370,245,568/2,039,477,490,333 = 2,039,477,490,333/x
  3. Step 3: Cross multiply
    962,370,245,568x = 2,039,477,490,333 × 2,039,477,490,333
  4. Step 4: Simplify right side
    962,370,245,568x = 4,159,468,433,574,991,969,124,352
  5. Step 5: Solve for x
    x = 4,159,468,433,574,991,969,124,352/962,370,245,568
  6. Step 6: Final answer
    x = 4,322,108,307,827.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.