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Finding the Third Proportional to 7,294,588,784 and 17,202,667,328

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Solution

The third proportional to 7,294,588,784 and 17,202,667,328 is: 40,568,669,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,588,784 : 17,202,667,328 = 17,202,667,328 : x
  2. Step 2: Convert to fraction form
    7,294,588,784/17,202,667,328 = 17,202,667,328/x
  3. Step 3: Cross multiply
    7,294,588,784x = 17,202,667,328 × 17,202,667,328
  4. Step 4: Simplify right side
    7,294,588,784x = 295,931,763,197,838,688,256
  5. Step 5: Solve for x
    x = 295,931,763,197,838,688,256/7,294,588,784
  6. Step 6: Final answer
    x = 40,568,669,730.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.