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Finding the Third Proportional to 7,620,880 and 16,438,328

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Solution

The third proportional to 7,620,880 and 16,438,328 is: 35,457,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620,880 : 16,438,328 = 16,438,328 : x
  2. Step 2: Convert to fraction form
    7,620,880/16,438,328 = 16,438,328/x
  3. Step 3: Cross multiply
    7,620,880x = 16,438,328 × 16,438,328
  4. Step 4: Simplify right side
    7,620,880x = 270,218,627,435,584
  5. Step 5: Solve for x
    x = 270,218,627,435,584/7,620,880
  6. Step 6: Final answer
    x = 35,457,667.28

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