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Finding the Third Proportional to 3,009,364.31 and 6,509,573.44

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Solution

The third proportional to 3,009,364.31 and 6,509,573.44 is: 14,080,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009,364.31 : 6,509,573.44 = 6,509,573.44 : x
  2. Step 2: Convert to fraction form
    3,009,364.31/6,509,573.44 = 6,509,573.44/x
  3. Step 3: Cross multiply
    3,009,364.31x = 6,509,573.44 × 6,509,573.44
  4. Step 4: Simplify right side
    3,009,364.31x = 42,374,546,338,205.56
  5. Step 5: Solve for x
    x = 42,374,546,338,205.56/3,009,364.31
  6. Step 6: Final answer
    x = 14,080,896.14

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Why These Related Problems?

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