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Finding the Third Proportional to 6,446,219 and 9,669,328

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Solution

The third proportional to 6,446,219 and 9,669,328 is: 14,503,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446,219 : 9,669,328 = 9,669,328 : x
  2. Step 2: Convert to fraction form
    6,446,219/9,669,328 = 9,669,328/x
  3. Step 3: Cross multiply
    6,446,219x = 9,669,328 × 9,669,328
  4. Step 4: Simplify right side
    6,446,219x = 93,495,903,971,584
  5. Step 5: Solve for x
    x = 93,495,903,971,584/6,446,219
  6. Step 6: Final answer
    x = 14,503,991.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.