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Finding the Third Proportional to 3,412,837.50 and 7,298,065.50

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Solution

The third proportional to 3,412,837.50 and 7,298,065.50 is: 15,606,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412,837.50 : 7,298,065.50 = 7,298,065.50 : x
  2. Step 2: Convert to fraction form
    3,412,837.50/7,298,065.50 = 7,298,065.50/x
  3. Step 3: Cross multiply
    3,412,837.50x = 7,298,065.50 × 7,298,065.50
  4. Step 4: Simplify right side
    3,412,837.50x = 53,261,760,042,290.25
  5. Step 5: Solve for x
    x = 53,261,760,042,290.25/3,412,837.50
  6. Step 6: Final answer
    x = 15,606,298.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.