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Finding the Third Proportional to 14,020,512.75 and 20,575,832.63

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Solution

The third proportional to 14,020,512.75 and 20,575,832.63 is: 30,196,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020,512.75 : 20,575,832.63 = 20,575,832.63 : x
  2. Step 2: Convert to fraction form
    14,020,512.75/20,575,832.63 = 20,575,832.63/x
  3. Step 3: Cross multiply
    14,020,512.75x = 20,575,832.63 × 20,575,832.63
  4. Step 4: Simplify right side
    14,020,512.75x = 423,364,888,212,014.38
  5. Step 5: Solve for x
    x = 423,364,888,212,014.38/14,020,512.75
  6. Step 6: Final answer
    x = 30,196,105.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.