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Finding the Third Proportional to 46,267,809 and 100,500,456

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Solution

The third proportional to 46,267,809 and 100,500,456 is: 218,301,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,267,809 : 100,500,456 = 100,500,456 : x
  2. Step 2: Convert to fraction form
    46,267,809/100,500,456 = 100,500,456/x
  3. Step 3: Cross multiply
    46,267,809x = 100,500,456 × 100,500,456
  4. Step 4: Simplify right side
    46,267,809x = 10,100,341,656,207,936
  5. Step 5: Solve for x
    x = 10,100,341,656,207,936/46,267,809
  6. Step 6: Final answer
    x = 218,301,706.40

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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.