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Finding the Third Proportional to 802,374,048 and 1,747,193,200.88

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Solution

The third proportional to 802,374,048 and 1,747,193,200.88 is: 3,804,564,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,374,048 : 1,747,193,200.88 = 1,747,193,200.88 : x
  2. Step 2: Convert to fraction form
    802,374,048/1,747,193,200.88 = 1,747,193,200.88/x
  3. Step 3: Cross multiply
    802,374,048x = 1,747,193,200.88 × 1,747,193,200.88
  4. Step 4: Simplify right side
    802,374,048x = 3,052,684,081,183,827,968
  5. Step 5: Solve for x
    x = 3,052,684,081,183,827,968/802,374,048
  6. Step 6: Final answer
    x = 3,804,564,827.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.