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Finding the Third Proportional to 589,348,179 and 982,187,768

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Solution

The third proportional to 589,348,179 and 982,187,768 is: 1,636,880,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,348,179 : 982,187,768 = 982,187,768 : x
  2. Step 2: Convert to fraction form
    589,348,179/982,187,768 = 982,187,768/x
  3. Step 3: Cross multiply
    589,348,179x = 982,187,768 × 982,187,768
  4. Step 4: Simplify right side
    589,348,179x = 964,692,811,608,821,760
  5. Step 5: Solve for x
    x = 964,692,811,608,821,760/589,348,179
  6. Step 6: Final answer
    x = 1,636,880,957.61

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.