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Finding the Third Proportional to 6,452,867 and 14,043,702

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Solution

The third proportional to 6,452,867 and 14,043,702 is: 30,564,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452,867 : 14,043,702 = 14,043,702 : x
  2. Step 2: Convert to fraction form
    6,452,867/14,043,702 = 14,043,702/x
  3. Step 3: Cross multiply
    6,452,867x = 14,043,702 × 14,043,702
  4. Step 4: Simplify right side
    6,452,867x = 197,225,565,864,804
  5. Step 5: Solve for x
    x = 197,225,565,864,804/6,452,867
  6. Step 6: Final answer
    x = 30,564,021.52

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Why These Related Problems?

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