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Finding the Third Proportional to 2,986,243 and 6,470,150

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Solution

The third proportional to 2,986,243 and 6,470,150 is: 14,018,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986,243 : 6,470,150 = 6,470,150 : x
  2. Step 2: Convert to fraction form
    2,986,243/6,470,150 = 6,470,150/x
  3. Step 3: Cross multiply
    2,986,243x = 6,470,150 × 6,470,150
  4. Step 4: Simplify right side
    2,986,243x = 41,862,841,022,500
  5. Step 5: Solve for x
    x = 41,862,841,022,500/2,986,243
  6. Step 6: Final answer
    x = 14,018,564.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.