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Finding the Third Proportional to 6,954,869 and 14,938,114

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Solution

The third proportional to 6,954,869 and 14,938,114 is: 32,085,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954,869 : 14,938,114 = 14,938,114 : x
  2. Step 2: Convert to fraction form
    6,954,869/14,938,114 = 14,938,114/x
  3. Step 3: Cross multiply
    6,954,869x = 14,938,114 × 14,938,114
  4. Step 4: Simplify right side
    6,954,869x = 223,147,249,876,996
  5. Step 5: Solve for x
    x = 223,147,249,876,996/6,954,869
  6. Step 6: Final answer
    x = 32,085,039.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.