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Finding the Third Proportional to 9,664,815.38 and 20,842,032.38

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Solution

The third proportional to 9,664,815.38 and 20,842,032.38 is: 44,945,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664,815.38 : 20,842,032.38 = 20,842,032.38 : x
  2. Step 2: Convert to fraction form
    9,664,815.38/20,842,032.38 = 20,842,032.38/x
  3. Step 3: Cross multiply
    9,664,815.38x = 20,842,032.38 × 20,842,032.38
  4. Step 4: Simplify right side
    9,664,815.38x = 434,390,313,520,548.12
  5. Step 5: Solve for x
    x = 434,390,313,520,548.12/9,664,815.38
  6. Step 6: Final answer
    x = 44,945,536.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.