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Finding the Third Proportional to 43,170,021.75 and 66,422,415.19

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Solution

The third proportional to 43,170,021.75 and 66,422,415.19 is: 102,199,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,170,021.75 : 66,422,415.19 = 66,422,415.19 : x
  2. Step 2: Convert to fraction form
    43,170,021.75/66,422,415.19 = 66,422,415.19/x
  3. Step 3: Cross multiply
    43,170,021.75x = 66,422,415.19 × 66,422,415.19
  4. Step 4: Simplify right side
    43,170,021.75x = 4,411,937,239,340,630.50
  5. Step 5: Solve for x
    x = 4,411,937,239,340,630.50/43,170,021.75
  6. Step 6: Final answer
    x = 102,199,096.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.