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Finding the Third Proportional to 4,014,616,270 and 8,696,337,525

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Solution

The third proportional to 4,014,616,270 and 8,696,337,525 is: 18,837,737,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014,616,270 : 8,696,337,525 = 8,696,337,525 : x
  2. Step 2: Convert to fraction form
    4,014,616,270/8,696,337,525 = 8,696,337,525/x
  3. Step 3: Cross multiply
    4,014,616,270x = 8,696,337,525 × 8,696,337,525
  4. Step 4: Simplify right side
    4,014,616,270x = 75,626,286,348,723,126,272
  5. Step 5: Solve for x
    x = 75,626,286,348,723,126,272/4,014,616,270
  6. Step 6: Final answer
    x = 18,837,737,223.82

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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.