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Finding the Third Proportional to 6,089,160 and 13,250,261

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Solution

The third proportional to 6,089,160 and 13,250,261 is: 28,833,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089,160 : 13,250,261 = 13,250,261 : x
  2. Step 2: Convert to fraction form
    6,089,160/13,250,261 = 13,250,261/x
  3. Step 3: Cross multiply
    6,089,160x = 13,250,261 × 13,250,261
  4. Step 4: Simplify right side
    6,089,160x = 175,569,416,568,121
  5. Step 5: Solve for x
    x = 175,569,416,568,121/6,089,160
  6. Step 6: Final answer
    x = 28,833,109.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.