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Finding the Third Proportional to 383,848,711,396 and 844,465,822,492

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Solution

The third proportional to 383,848,711,396 and 844,465,822,492 is: 1,857,821,855,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,848,711,396 : 844,465,822,492 = 844,465,822,492 : x
  2. Step 2: Convert to fraction form
    383,848,711,396/844,465,822,492 = 844,465,822,492/x
  3. Step 3: Cross multiply
    383,848,711,396x = 844,465,822,492 × 844,465,822,492
  4. Step 4: Simplify right side
    383,848,711,396x = 713,122,525,357,090,084,487,168
  5. Step 5: Solve for x
    x = 713,122,525,357,090,084,487,168/383,848,711,396
  6. Step 6: Final answer
    x = 1,857,821,855,812.86

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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.