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Finding the Third Proportional to 3,409,669.69 and 7,292,141.44

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Solution

The third proportional to 3,409,669.69 and 7,292,141.44 is: 15,595,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,669.69 : 7,292,141.44 = 7,292,141.44 : x
  2. Step 2: Convert to fraction form
    3,409,669.69/7,292,141.44 = 7,292,141.44/x
  3. Step 3: Cross multiply
    3,409,669.69x = 7,292,141.44 × 7,292,141.44
  4. Step 4: Simplify right side
    3,409,669.69x = 53,175,326,744,504.56
  5. Step 5: Solve for x
    x = 53,175,326,744,504.56/3,409,669.69
  6. Step 6: Final answer
    x = 15,595,448.13

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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.