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Finding the Third Proportional to 14,467,471.88 and 31,206,452.63

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Solution

The third proportional to 14,467,471.88 and 31,206,452.63 is: 67,312,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467,471.88 : 31,206,452.63 = 31,206,452.63 : x
  2. Step 2: Convert to fraction form
    14,467,471.88/31,206,452.63 = 31,206,452.63/x
  3. Step 3: Cross multiply
    14,467,471.88x = 31,206,452.63 × 31,206,452.63
  4. Step 4: Simplify right side
    14,467,471.88x = 973,842,685,436,369.38
  5. Step 5: Solve for x
    x = 973,842,685,436,369.38/14,467,471.88
  6. Step 6: Final answer
    x = 67,312,568.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.