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Finding the Third Proportional to 2,912,574.38 and 6,385,020.75

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Solution

The third proportional to 2,912,574.38 and 6,385,020.75 is: 13,997,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,574.38 : 6,385,020.75 = 6,385,020.75 : x
  2. Step 2: Convert to fraction form
    2,912,574.38/6,385,020.75 = 6,385,020.75/x
  3. Step 3: Cross multiply
    2,912,574.38x = 6,385,020.75 × 6,385,020.75
  4. Step 4: Simplify right side
    2,912,574.38x = 40,768,489,977,930.56
  5. Step 5: Solve for x
    x = 40,768,489,977,930.56/2,912,574.38
  6. Step 6: Final answer
    x = 13,997,407.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.