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Finding the Third Proportional to 589,348,176.75 and 982,187,764.88

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Solution

The third proportional to 589,348,176.75 and 982,187,764.88 is: 1,636,880,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,348,176.75 : 982,187,764.88 = 982,187,764.88 : x
  2. Step 2: Convert to fraction form
    589,348,176.75/982,187,764.88 = 982,187,764.88/x
  3. Step 3: Cross multiply
    589,348,176.75x = 982,187,764.88 × 982,187,764.88
  4. Step 4: Simplify right side
    589,348,176.75x = 964,692,805,470,148,224
  5. Step 5: Solve for x
    x = 964,692,805,470,148,224/589,348,176.75
  6. Step 6: Final answer
    x = 1,636,880,953.45

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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.