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Finding the Third Proportional to 3,165,409.13 and 6,442,685.58

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Solution

The third proportional to 3,165,409.13 and 6,442,685.58 is: 13,113,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,409.13 : 6,442,685.58 = 6,442,685.58 : x
  2. Step 2: Convert to fraction form
    3,165,409.13/6,442,685.58 = 6,442,685.58/x
  3. Step 3: Cross multiply
    3,165,409.13x = 6,442,685.58 × 6,442,685.58
  4. Step 4: Simplify right side
    3,165,409.13x = 41,508,197,458,579.87
  5. Step 5: Solve for x
    x = 41,508,197,458,579.87/3,165,409.13
  6. Step 6: Final answer
    x = 13,113,059.27

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.