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Finding the Third Proportional to 7,546,761 and 16,294,905

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Solution

The third proportional to 7,546,761 and 16,294,905 is: 35,183,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546,761 : 16,294,905 = 16,294,905 : x
  2. Step 2: Convert to fraction form
    7,546,761/16,294,905 = 16,294,905/x
  3. Step 3: Cross multiply
    7,546,761x = 16,294,905 × 16,294,905
  4. Step 4: Simplify right side
    7,546,761x = 265,523,928,959,025
  5. Step 5: Solve for x
    x = 265,523,928,959,025/7,546,761
  6. Step 6: Final answer
    x = 35,183,826.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.