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Finding the Third Proportional to 7,178,047.94 and 11,033,174.03

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Solution

The third proportional to 7,178,047.94 and 11,033,174.03 is: 16,958,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178,047.94 : 11,033,174.03 = 11,033,174.03 : x
  2. Step 2: Convert to fraction form
    7,178,047.94/11,033,174.03 = 11,033,174.03/x
  3. Step 3: Cross multiply
    7,178,047.94x = 11,033,174.03 × 11,033,174.03
  4. Step 4: Simplify right side
    7,178,047.94x = 121,730,929,203,849.38
  5. Step 5: Solve for x
    x = 121,730,929,203,849.38/7,178,047.94
  6. Step 6: Final answer
    x = 16,958,779.08

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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.