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Finding the Third Proportional to 7,788,198 and 17,042,230.50

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Solution

The third proportional to 7,788,198 and 17,042,230.50 is: 37,292,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788,198 : 17,042,230.50 = 17,042,230.50 : x
  2. Step 2: Convert to fraction form
    7,788,198/17,042,230.50 = 17,042,230.50/x
  3. Step 3: Cross multiply
    7,788,198x = 17,042,230.50 × 17,042,230.50
  4. Step 4: Simplify right side
    7,788,198x = 290,437,620,415,130.25
  5. Step 5: Solve for x
    x = 290,437,620,415,130.25/7,788,198
  6. Step 6: Final answer
    x = 37,292,018.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.