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Finding the Third Proportional to 7,178,047.14 and 11,033,172.79

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Solution

The third proportional to 7,178,047.14 and 11,033,172.79 is: 16,958,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178,047.14 : 11,033,172.79 = 11,033,172.79 : x
  2. Step 2: Convert to fraction form
    7,178,047.14/11,033,172.79 = 11,033,172.79/x
  3. Step 3: Cross multiply
    7,178,047.14x = 11,033,172.79 × 11,033,172.79
  4. Step 4: Simplify right side
    7,178,047.14x = 121,730,901,836,415.78
  5. Step 5: Solve for x
    x = 121,730,901,836,415.78/7,178,047.14
  6. Step 6: Final answer
    x = 16,958,777.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.