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Finding the Third Proportional to 837,082,536 and 1,955,180,247

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Solution

The third proportional to 837,082,536 and 1,955,180,247 is: 4,566,729,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,082,536 : 1,955,180,247 = 1,955,180,247 : x
  2. Step 2: Convert to fraction form
    837,082,536/1,955,180,247 = 1,955,180,247/x
  3. Step 3: Cross multiply
    837,082,536x = 1,955,180,247 × 1,955,180,247
  4. Step 4: Simplify right side
    837,082,536x = 3,822,729,798,258,980,864
  5. Step 5: Solve for x
    x = 3,822,729,798,258,980,864/837,082,536
  6. Step 6: Final answer
    x = 4,566,729,843.06

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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.