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Finding the Third Proportional to 1,222,724,018 and 2,583,457,636

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Solution

The third proportional to 1,222,724,018 and 2,583,457,636 is: 5,458,511,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,724,018 : 2,583,457,636 = 2,583,457,636 : x
  2. Step 2: Convert to fraction form
    1,222,724,018/2,583,457,636 = 2,583,457,636/x
  3. Step 3: Cross multiply
    1,222,724,018x = 2,583,457,636 × 2,583,457,636
  4. Step 4: Simplify right side
    1,222,724,018x = 6,674,253,357,006,708,736
  5. Step 5: Solve for x
    x = 6,674,253,357,006,708,736/1,222,724,018
  6. Step 6: Final answer
    x = 5,458,511,699.09

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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.