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Finding the Third Proportional to 855,484,208 and 1,833,747,676

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Solution

The third proportional to 855,484,208 and 1,833,747,676 is: 3,930,675,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,484,208 : 1,833,747,676 = 1,833,747,676 : x
  2. Step 2: Convert to fraction form
    855,484,208/1,833,747,676 = 1,833,747,676/x
  3. Step 3: Cross multiply
    855,484,208x = 1,833,747,676 × 1,833,747,676
  4. Step 4: Simplify right side
    855,484,208x = 3,362,630,539,235,401,216
  5. Step 5: Solve for x
    x = 3,362,630,539,235,401,216/855,484,208
  6. Step 6: Final answer
    x = 3,930,675,175.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.