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Finding the Third Proportional to 1,974,192,084 and 4,288,226,472

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Solution

The third proportional to 1,974,192,084 and 4,288,226,472 is: 9,314,638,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,192,084 : 4,288,226,472 = 4,288,226,472 : x
  2. Step 2: Convert to fraction form
    1,974,192,084/4,288,226,472 = 4,288,226,472/x
  3. Step 3: Cross multiply
    1,974,192,084x = 4,288,226,472 × 4,288,226,472
  4. Step 4: Simplify right side
    1,974,192,084x = 18,388,886,275,161,567,232
  5. Step 5: Solve for x
    x = 18,388,886,275,161,567,232/1,974,192,084
  6. Step 6: Final answer
    x = 9,314,638,846.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.