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Finding the Third Proportional to 382,809,024 and 839,724,624

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Solution

The third proportional to 382,809,024 and 839,724,624 is: 1,842,008,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,809,024 : 839,724,624 = 839,724,624 : x
  2. Step 2: Convert to fraction form
    382,809,024/839,724,624 = 839,724,624/x
  3. Step 3: Cross multiply
    382,809,024x = 839,724,624 × 839,724,624
  4. Step 4: Simplify right side
    382,809,024x = 705,137,444,151,941,376
  5. Step 5: Solve for x
    x = 705,137,444,151,941,376/382,809,024
  6. Step 6: Final answer
    x = 1,842,008,416.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.