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Finding the Third Proportional to 9,202,459.50 and 19,928,083.50

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Solution

The third proportional to 9,202,459.50 and 19,928,083.50 is: 43,154,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202,459.50 : 19,928,083.50 = 19,928,083.50 : x
  2. Step 2: Convert to fraction form
    9,202,459.50/19,928,083.50 = 19,928,083.50/x
  3. Step 3: Cross multiply
    9,202,459.50x = 19,928,083.50 × 19,928,083.50
  4. Step 4: Simplify right side
    9,202,459.50x = 397,128,511,982,972.25
  5. Step 5: Solve for x
    x = 397,128,511,982,972.25/9,202,459.50
  6. Step 6: Final answer
    x = 43,154,605.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.