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Finding the Third Proportional to 46,674,914,974 and 100,428,942,688

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Solution

The third proportional to 46,674,914,974 and 100,428,942,688 is: 216,089,789,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674,914,974 : 100,428,942,688 = 100,428,942,688 : x
  2. Step 2: Convert to fraction form
    46,674,914,974/100,428,942,688 = 100,428,942,688/x
  3. Step 3: Cross multiply
    46,674,914,974x = 100,428,942,688 × 100,428,942,688
  4. Step 4: Simplify right side
    46,674,914,974x = 10,085,972,529,429,589,524,480
  5. Step 5: Solve for x
    x = 10,085,972,529,429,589,524,480/46,674,914,974
  6. Step 6: Final answer
    x = 216,089,789,023.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.