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Finding the Third Proportional to 10,475,971.73 and 16,162,485.61

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Solution

The third proportional to 10,475,971.73 and 16,162,485.61 is: 24,935,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475,971.73 : 16,162,485.61 = 16,162,485.61 : x
  2. Step 2: Convert to fraction form
    10,475,971.73/16,162,485.61 = 16,162,485.61/x
  3. Step 3: Cross multiply
    10,475,971.73x = 16,162,485.61 × 16,162,485.61
  4. Step 4: Simplify right side
    10,475,971.73x = 261,225,941,073,253.97
  5. Step 5: Solve for x
    x = 261,225,941,073,253.97/10,475,971.73
  6. Step 6: Final answer
    x = 24,935,724.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.