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Finding the Third Proportional to 1,222,724,016 and 2,583,457,632

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Solution

The third proportional to 1,222,724,016 and 2,583,457,632 is: 5,458,511,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,724,016 : 2,583,457,632 = 2,583,457,632 : x
  2. Step 2: Convert to fraction form
    1,222,724,016/2,583,457,632 = 2,583,457,632/x
  3. Step 3: Cross multiply
    1,222,724,016x = 2,583,457,632 × 2,583,457,632
  4. Step 4: Simplify right side
    1,222,724,016x = 6,674,253,336,339,047,424
  5. Step 5: Solve for x
    x = 6,674,253,336,339,047,424/1,222,724,016
  6. Step 6: Final answer
    x = 5,458,511,691.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.