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Finding the Third Proportional to 37,855,567.69 and 82,171,852.31

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Solution

The third proportional to 37,855,567.69 and 82,171,852.31 is: 178,367,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,855,567.69 : 82,171,852.31 = 82,171,852.31 : x
  2. Step 2: Convert to fraction form
    37,855,567.69/82,171,852.31 = 82,171,852.31/x
  3. Step 3: Cross multiply
    37,855,567.69x = 82,171,852.31 × 82,171,852.31
  4. Step 4: Simplify right side
    37,855,567.69x = 6,752,213,312,467,312
  5. Step 5: Solve for x
    x = 6,752,213,312,467,312/37,855,567.69
  6. Step 6: Final answer
    x = 178,367,773.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.