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Finding the Third Proportional to 1,397,125,447 and 2,835,304,713

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Solution

The third proportional to 1,397,125,447 and 2,835,304,713 is: 5,753,923,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,125,447 : 2,835,304,713 = 2,835,304,713 : x
  2. Step 2: Convert to fraction form
    1,397,125,447/2,835,304,713 = 2,835,304,713/x
  3. Step 3: Cross multiply
    1,397,125,447x = 2,835,304,713 × 2,835,304,713
  4. Step 4: Simplify right side
    1,397,125,447x = 8,038,952,815,560,012,800
  5. Step 5: Solve for x
    x = 8,038,952,815,560,012,800/1,397,125,447
  6. Step 6: Final answer
    x = 5,753,923,409.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.