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Finding the Third Proportional to 1,072,447,634 and 2,314,192,324

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Solution

The third proportional to 1,072,447,634 and 2,314,192,324 is: 4,993,704,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,447,634 : 2,314,192,324 = 2,314,192,324 : x
  2. Step 2: Convert to fraction form
    1,072,447,634/2,314,192,324 = 2,314,192,324/x
  3. Step 3: Cross multiply
    1,072,447,634x = 2,314,192,324 × 2,314,192,324
  4. Step 4: Simplify right side
    1,072,447,634x = 5,355,486,112,460,521,472
  5. Step 5: Solve for x
    x = 5,355,486,112,460,521,472/1,072,447,634
  6. Step 6: Final answer
    x = 4,993,704,067.85

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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.