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Finding the Third Proportional to 6,452,869 and 14,043,706

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Solution

The third proportional to 6,452,869 and 14,043,706 is: 30,564,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452,869 : 14,043,706 = 14,043,706 : x
  2. Step 2: Convert to fraction form
    6,452,869/14,043,706 = 14,043,706/x
  3. Step 3: Cross multiply
    6,452,869x = 14,043,706 × 14,043,706
  4. Step 4: Simplify right side
    6,452,869x = 197,225,678,214,436
  5. Step 5: Solve for x
    x = 197,225,678,214,436/6,452,869
  6. Step 6: Final answer
    x = 30,564,029.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.