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Finding the Third Proportional to 837,082,521 and 1,955,180,208

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Solution

The third proportional to 837,082,521 and 1,955,180,208 is: 4,566,729,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,082,521 : 1,955,180,208 = 1,955,180,208 : x
  2. Step 2: Convert to fraction form
    837,082,521/1,955,180,208 = 1,955,180,208/x
  3. Step 3: Cross multiply
    837,082,521x = 1,955,180,208 × 1,955,180,208
  4. Step 4: Simplify right side
    837,082,521x = 3,822,729,645,754,923,008
  5. Step 5: Solve for x
    x = 3,822,729,645,754,923,008/837,082,521
  6. Step 6: Final answer
    x = 4,566,729,742.71

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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.