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Finding the Third Proportional to 4,033,911,168.07 and 8,634,490,975.27

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Solution

The third proportional to 4,033,911,168.07 and 8,634,490,975.27 is: 18,481,922,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033,911,168.07 : 8,634,490,975.27 = 8,634,490,975.27 : x
  2. Step 2: Convert to fraction form
    4,033,911,168.07/8,634,490,975.27 = 8,634,490,975.27/x
  3. Step 3: Cross multiply
    4,033,911,168.07x = 8,634,490,975.27 × 8,634,490,975.27
  4. Step 4: Simplify right side
    4,033,911,168.07x = 74,554,434,401,950,007,296
  5. Step 5: Solve for x
    x = 74,554,434,401,950,007,296/4,033,911,168.07
  6. Step 6: Final answer
    x = 18,481,922,703.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.