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Finding the Third Proportional to 382,809,100 and 839,724,776

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Solution

The third proportional to 382,809,100 and 839,724,776 is: 1,842,008,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,809,100 : 839,724,776 = 839,724,776 : x
  2. Step 2: Convert to fraction form
    382,809,100/839,724,776 = 839,724,776/x
  3. Step 3: Cross multiply
    382,809,100x = 839,724,776 × 839,724,776
  4. Step 4: Simplify right side
    382,809,100x = 705,137,699,428,250,112
  5. Step 5: Solve for x
    x = 705,137,699,428,250,112/382,809,100
  6. Step 6: Final answer
    x = 1,842,008,717.73

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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.