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Finding the Third Proportional to 589,348,176 and 982,187,764.50

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Solution

The third proportional to 589,348,176 and 982,187,764.50 is: 1,636,880,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,348,176 : 982,187,764.50 = 982,187,764.50 : x
  2. Step 2: Convert to fraction form
    589,348,176/982,187,764.50 = 982,187,764.50/x
  3. Step 3: Cross multiply
    589,348,176x = 982,187,764.50 × 982,187,764.50
  4. Step 4: Simplify right side
    589,348,176x = 964,692,804,733,507,456
  5. Step 5: Solve for x
    x = 964,692,804,733,507,456/589,348,176
  6. Step 6: Final answer
    x = 1,636,880,954.28

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Why These Related Problems?

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