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Finding the Third Proportional to 837,082,512 and 1,955,180,187

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Solution

The third proportional to 837,082,512 and 1,955,180,187 is: 4,566,729,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,082,512 : 1,955,180,187 = 1,955,180,187 : x
  2. Step 2: Convert to fraction form
    837,082,512/1,955,180,187 = 1,955,180,187/x
  3. Step 3: Cross multiply
    837,082,512x = 1,955,180,187 × 1,955,180,187
  4. Step 4: Simplify right side
    837,082,512x = 3,822,729,563,637,355,008
  5. Step 5: Solve for x
    x = 3,822,729,563,637,355,008/837,082,512
  6. Step 6: Final answer
    x = 4,566,729,693.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.