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Finding the Third Proportional to 1,974,192,086 and 4,288,226,476

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Solution

The third proportional to 1,974,192,086 and 4,288,226,476 is: 9,314,638,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,192,086 : 4,288,226,476 = 4,288,226,476 : x
  2. Step 2: Convert to fraction form
    1,974,192,086/4,288,226,476 = 4,288,226,476/x
  3. Step 3: Cross multiply
    1,974,192,086x = 4,288,226,476 × 4,288,226,476
  4. Step 4: Simplify right side
    1,974,192,086x = 18,388,886,309,467,377,664
  5. Step 5: Solve for x
    x = 18,388,886,309,467,377,664/1,974,192,086
  6. Step 6: Final answer
    x = 9,314,638,853.98

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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.