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Finding the Third Proportional to 21,704,091.75 and 47,780,133.19

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Solution

The third proportional to 21,704,091.75 and 47,780,133.19 is: 105,184,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704,091.75 : 47,780,133.19 = 47,780,133.19 : x
  2. Step 2: Convert to fraction form
    21,704,091.75/47,780,133.19 = 47,780,133.19/x
  3. Step 3: Cross multiply
    21,704,091.75x = 47,780,133.19 × 47,780,133.19
  4. Step 4: Simplify right side
    21,704,091.75x = 2,282,941,127,415,239
  5. Step 5: Solve for x
    x = 2,282,941,127,415,239/21,704,091.75
  6. Step 6: Final answer
    x = 105,184,826.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.