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Finding the Third Proportional to 6,517,685.25 and 14,155,289.16

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Solution

The third proportional to 6,517,685.25 and 14,155,289.16 is: 30,742,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,685.25 : 14,155,289.16 = 14,155,289.16 : x
  2. Step 2: Convert to fraction form
    6,517,685.25/14,155,289.16 = 14,155,289.16/x
  3. Step 3: Cross multiply
    6,517,685.25x = 14,155,289.16 × 14,155,289.16
  4. Step 4: Simplify right side
    6,517,685.25x = 200,372,211,097,048.84
  5. Step 5: Solve for x
    x = 200,372,211,097,048.84/6,517,685.25
  6. Step 6: Final answer
    x = 30,742,848.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.