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Finding the Third Proportional to 7,749,764 and 10,638,318

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Solution

The third proportional to 7,749,764 and 10,638,318 is: 14,603,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749,764 : 10,638,318 = 10,638,318 : x
  2. Step 2: Convert to fraction form
    7,749,764/10,638,318 = 10,638,318/x
  3. Step 3: Cross multiply
    7,749,764x = 10,638,318 × 10,638,318
  4. Step 4: Simplify right side
    7,749,764x = 113,173,809,869,124
  5. Step 5: Solve for x
    x = 113,173,809,869,124/7,749,764
  6. Step 6: Final answer
    x = 14,603,516.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.