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Finding the Third Proportional to 9,324,382.97 and 19,615,019.34

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Solution

The third proportional to 9,324,382.97 and 19,615,019.34 is: 41,262,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324,382.97 : 19,615,019.34 = 19,615,019.34 : x
  2. Step 2: Convert to fraction form
    9,324,382.97/19,615,019.34 = 19,615,019.34/x
  3. Step 3: Cross multiply
    9,324,382.97x = 19,615,019.34 × 19,615,019.34
  4. Step 4: Simplify right side
    9,324,382.97x = 384,748,983,855,686.69
  5. Step 5: Solve for x
    x = 384,748,983,855,686.69/9,324,382.97
  6. Step 6: Final answer
    x = 41,262,674.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.