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Finding the Third Proportional to 43,169,922.75 and 66,422,254.13

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Solution

The third proportional to 43,169,922.75 and 66,422,254.13 is: 102,198,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,169,922.75 : 66,422,254.13 = 66,422,254.13 : x
  2. Step 2: Convert to fraction form
    43,169,922.75/66,422,254.13 = 66,422,254.13/x
  3. Step 3: Cross multiply
    43,169,922.75x = 66,422,254.13 × 66,422,254.13
  4. Step 4: Simplify right side
    43,169,922.75x = 4,411,915,843,046,079.50
  5. Step 5: Solve for x
    x = 4,411,915,843,046,079.50/43,169,922.75
  6. Step 6: Final answer
    x = 102,198,835.72

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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.