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Finding the Third Proportional to 7,936,784 and 17,226,592

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Solution

The third proportional to 7,936,784 and 17,226,592 is: 37,389,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936,784 : 17,226,592 = 17,226,592 : x
  2. Step 2: Convert to fraction form
    7,936,784/17,226,592 = 17,226,592/x
  3. Step 3: Cross multiply
    7,936,784x = 17,226,592 × 17,226,592
  4. Step 4: Simplify right side
    7,936,784x = 296,755,471,934,464
  5. Step 5: Solve for x
    x = 296,755,471,934,464/7,936,784
  6. Step 6: Final answer
    x = 37,389,888.89

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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.