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Finding the Third Proportional to 10,220,458.50 and 15,709,551.75

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Solution

The third proportional to 10,220,458.50 and 15,709,551.75 is: 24,146,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220,458.50 : 15,709,551.75 = 15,709,551.75 : x
  2. Step 2: Convert to fraction form
    10,220,458.50/15,709,551.75 = 15,709,551.75/x
  3. Step 3: Cross multiply
    10,220,458.50x = 15,709,551.75 × 15,709,551.75
  4. Step 4: Simplify right side
    10,220,458.50x = 246,790,016,185,928.06
  5. Step 5: Solve for x
    x = 246,790,016,185,928.06/10,220,458.50
  6. Step 6: Final answer
    x = 24,146,667.80

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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.