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Finding the Third Proportional to 7,545,474 and 16,366,971.38

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Solution

The third proportional to 7,545,474 and 16,366,971.38 is: 35,501,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545,474 : 16,366,971.38 = 16,366,971.38 : x
  2. Step 2: Convert to fraction form
    7,545,474/16,366,971.38 = 16,366,971.38/x
  3. Step 3: Cross multiply
    7,545,474x = 16,366,971.38 × 16,366,971.38
  4. Step 4: Simplify right side
    7,545,474x = 267,877,751,990,069.38
  5. Step 5: Solve for x
    x = 267,877,751,990,069.38/7,545,474
  6. Step 6: Final answer
    x = 35,501,779.21

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Why These Related Problems?

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