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Finding the Third Proportional to 1,974,690,212 and 4,112,824,360

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Solution

The third proportional to 1,974,690,212 and 4,112,824,360 is: 8,566,064,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,690,212 : 4,112,824,360 = 4,112,824,360 : x
  2. Step 2: Convert to fraction form
    1,974,690,212/4,112,824,360 = 4,112,824,360/x
  3. Step 3: Cross multiply
    1,974,690,212x = 4,112,824,360 × 4,112,824,360
  4. Step 4: Simplify right side
    1,974,690,212x = 16,915,324,216,209,410,048
  5. Step 5: Solve for x
    x = 16,915,324,216,209,410,048/1,974,690,212
  6. Step 6: Final answer
    x = 8,566,064,749.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.