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Finding the Third Proportional to 1,892,670,184 and 4,118,616,128

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Solution

The third proportional to 1,892,670,184 and 4,118,616,128 is: 8,962,469,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892,670,184 : 4,118,616,128 = 4,118,616,128 : x
  2. Step 2: Convert to fraction form
    1,892,670,184/4,118,616,128 = 4,118,616,128/x
  3. Step 3: Cross multiply
    1,892,670,184x = 4,118,616,128 × 4,118,616,128
  4. Step 4: Simplify right side
    1,892,670,184x = 16,962,998,809,821,712,384
  5. Step 5: Solve for x
    x = 16,962,998,809,821,712,384/1,892,670,184
  6. Step 6: Final answer
    x = 8,962,469,506.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.