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Finding the Third Proportional to 14,429,229.38 and 31,744,269.38

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Solution

The third proportional to 14,429,229.38 and 31,744,269.38 is: 69,837,315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429,229.38 : 31,744,269.38 = 31,744,269.38 : x
  2. Step 2: Convert to fraction form
    14,429,229.38/31,744,269.38 = 31,744,269.38/x
  3. Step 3: Cross multiply
    14,429,229.38x = 31,744,269.38 × 31,744,269.38
  4. Step 4: Simplify right side
    14,429,229.38x = 1,007,698,638,152,562.88
  5. Step 5: Solve for x
    x = 1,007,698,638,152,562.88/14,429,229.38
  6. Step 6: Final answer
    x = 69,837,315.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.