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Finding the Third Proportional to 6,452,863 and 14,043,694

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Solution

The third proportional to 6,452,863 and 14,043,694 is: 30,564,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452,863 : 14,043,694 = 14,043,694 : x
  2. Step 2: Convert to fraction form
    6,452,863/14,043,694 = 14,043,694/x
  3. Step 3: Cross multiply
    6,452,863x = 14,043,694 × 14,043,694
  4. Step 4: Simplify right side
    6,452,863x = 197,225,341,165,636
  5. Step 5: Solve for x
    x = 197,225,341,165,636/6,452,863
  6. Step 6: Final answer
    x = 30,564,005.65

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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.