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Finding the Third Proportional to 275,821,932 and 585,266,820

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Solution

The third proportional to 275,821,932 and 585,266,820 is: 1,241,878,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,821,932 : 585,266,820 = 585,266,820 : x
  2. Step 2: Convert to fraction form
    275,821,932/585,266,820 = 585,266,820/x
  3. Step 3: Cross multiply
    275,821,932x = 585,266,820 × 585,266,820
  4. Step 4: Simplify right side
    275,821,932x = 342,537,250,592,912,384
  5. Step 5: Solve for x
    x = 342,537,250,592,912,384/275,821,932
  6. Step 6: Final answer
    x = 1,241,878,222.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.