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Finding the Third Proportional to 7,178,011.17 and 11,033,122.64

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Solution

The third proportional to 7,178,011.17 and 11,033,122.64 is: 16,958,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178,011.17 : 11,033,122.64 = 11,033,122.64 : x
  2. Step 2: Convert to fraction form
    7,178,011.17/11,033,122.64 = 11,033,122.64/x
  3. Step 3: Cross multiply
    7,178,011.17x = 11,033,122.64 × 11,033,122.64
  4. Step 4: Simplify right side
    7,178,011.17x = 121,729,795,203,071.97
  5. Step 5: Solve for x
    x = 121,729,795,203,071.97/7,178,011.17
  6. Step 6: Final answer
    x = 16,958,707.96

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Why These Related Problems?

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