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Finding the Third Proportional to 9,951,201 and 21,285,706.50

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Solution

The third proportional to 9,951,201 and 21,285,706.50 is: 45,530,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951,201 : 21,285,706.50 = 21,285,706.50 : x
  2. Step 2: Convert to fraction form
    9,951,201/21,285,706.50 = 21,285,706.50/x
  3. Step 3: Cross multiply
    9,951,201x = 21,285,706.50 × 21,285,706.50
  4. Step 4: Simplify right side
    9,951,201x = 453,081,301,204,142.25
  5. Step 5: Solve for x
    x = 453,081,301,204,142.25/9,951,201
  6. Step 6: Final answer
    x = 45,530,313.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.