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Finding the Third Proportional to 12,628,306.13 and 18,470,066.63

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Solution

The third proportional to 12,628,306.13 and 18,470,066.63 is: 27,014,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628,306.13 : 18,470,066.63 = 18,470,066.63 : x
  2. Step 2: Convert to fraction form
    12,628,306.13/18,470,066.63 = 18,470,066.63/x
  3. Step 3: Cross multiply
    12,628,306.13x = 18,470,066.63 × 18,470,066.63
  4. Step 4: Simplify right side
    12,628,306.13x = 341,143,361,131,938.88
  5. Step 5: Solve for x
    x = 341,143,361,131,938.88/12,628,306.13
  6. Step 6: Final answer
    x = 27,014,182.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.