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Finding the Third Proportional to 46,150,696 and 71,743,260

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Solution

The third proportional to 46,150,696 and 71,743,260 is: 111,528,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,150,696 : 71,743,260 = 71,743,260 : x
  2. Step 2: Convert to fraction form
    46,150,696/71,743,260 = 71,743,260/x
  3. Step 3: Cross multiply
    46,150,696x = 71,743,260 × 71,743,260
  4. Step 4: Simplify right side
    46,150,696x = 5,147,095,355,427,600
  5. Step 5: Solve for x
    x = 5,147,095,355,427,600/46,150,696
  6. Step 6: Final answer
    x = 111,528,011.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.