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Finding the Third Proportional to 366,149,583 and 552,629,358

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Solution

The third proportional to 366,149,583 and 552,629,358 is: 834,083,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,149,583 : 552,629,358 = 552,629,358 : x
  2. Step 2: Convert to fraction form
    366,149,583/552,629,358 = 552,629,358/x
  3. Step 3: Cross multiply
    366,149,583x = 552,629,358 × 552,629,358
  4. Step 4: Simplify right side
    366,149,583x = 305,399,207,323,492,160
  5. Step 5: Solve for x
    x = 305,399,207,323,492,160/366,149,583
  6. Step 6: Final answer
    x = 834,083,176.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.