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Finding the Third Proportional to 2,302,666,771 and 3,537,177,816

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Solution

The third proportional to 2,302,666,771 and 3,537,177,816 is: 5,433,537,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302,666,771 : 3,537,177,816 = 3,537,177,816 : x
  2. Step 2: Convert to fraction form
    2,302,666,771/3,537,177,816 = 3,537,177,816/x
  3. Step 3: Cross multiply
    2,302,666,771x = 3,537,177,816 × 3,537,177,816
  4. Step 4: Simplify right side
    2,302,666,771x = 12,511,626,902,002,530,304
  5. Step 5: Solve for x
    x = 12,511,626,902,002,530,304/2,302,666,771
  6. Step 6: Final answer
    x = 5,433,537,783.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.