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Finding the Third Proportional to 17,644,002.19 and 38,075,594.06

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Solution

The third proportional to 17,644,002.19 and 38,075,594.06 is: 82,166,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644,002.19 : 38,075,594.06 = 38,075,594.06 : x
  2. Step 2: Convert to fraction form
    17,644,002.19/38,075,594.06 = 38,075,594.06/x
  3. Step 3: Cross multiply
    17,644,002.19x = 38,075,594.06 × 38,075,594.06
  4. Step 4: Simplify right side
    17,644,002.19x = 1,449,750,863,212,285.25
  5. Step 5: Solve for x
    x = 1,449,750,863,212,285.25/17,644,002.19
  6. Step 6: Final answer
    x = 82,166,780.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.