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Finding the Third Proportional to 5,820,947 and 12,245,157

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Solution

The third proportional to 5,820,947 and 12,245,157 is: 25,759,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820,947 : 12,245,157 = 12,245,157 : x
  2. Step 2: Convert to fraction form
    5,820,947/12,245,157 = 12,245,157/x
  3. Step 3: Cross multiply
    5,820,947x = 12,245,157 × 12,245,157
  4. Step 4: Simplify right side
    5,820,947x = 149,943,869,954,649
  5. Step 5: Solve for x
    x = 149,943,869,954,649/5,820,947
  6. Step 6: Final answer
    x = 25,759,360.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.