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Finding the Third Proportional to 382,809,026 and 839,724,628

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Solution

The third proportional to 382,809,026 and 839,724,628 is: 1,842,008,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,809,026 : 839,724,628 = 839,724,628 : x
  2. Step 2: Convert to fraction form
    382,809,026/839,724,628 = 839,724,628/x
  3. Step 3: Cross multiply
    382,809,026x = 839,724,628 × 839,724,628
  4. Step 4: Simplify right side
    382,809,026x = 705,137,450,869,738,368
  5. Step 5: Solve for x
    x = 705,137,450,869,738,368/382,809,026
  6. Step 6: Final answer
    x = 1,842,008,424.51

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