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Finding the Third Proportional to 383,848,711,393.50 and 844,465,822,488

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Solution

The third proportional to 383,848,711,393.50 and 844,465,822,488 is: 1,857,821,855,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,848,711,393.50 : 844,465,822,488 = 844,465,822,488 : x
  2. Step 2: Convert to fraction form
    383,848,711,393.50/844,465,822,488 = 844,465,822,488/x
  3. Step 3: Cross multiply
    383,848,711,393.50x = 844,465,822,488 × 844,465,822,488
  4. Step 4: Simplify right side
    383,848,711,393.50x = 713,122,525,350,334,369,366,016
  5. Step 5: Solve for x
    x = 713,122,525,350,334,369,366,016/383,848,711,393.50
  6. Step 6: Final answer
    x = 1,857,821,855,807.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.