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Finding the Third Proportional to 33,456,564.75 and 51,146,454.38

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Solution

The third proportional to 33,456,564.75 and 51,146,454.38 is: 78,189,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,456,564.75 : 51,146,454.38 = 51,146,454.38 : x
  2. Step 2: Convert to fraction form
    33,456,564.75/51,146,454.38 = 51,146,454.38/x
  3. Step 3: Cross multiply
    33,456,564.75x = 51,146,454.38 × 51,146,454.38
  4. Step 4: Simplify right side
    33,456,564.75x = 2,615,959,795,133,956.50
  5. Step 5: Solve for x
    x = 2,615,959,795,133,956.50/33,456,564.75
  6. Step 6: Final answer
    x = 78,189,730.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.