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Finding the Third Proportional to 2,510,878.50 and 5,470,152.75

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Solution

The third proportional to 2,510,878.50 and 5,470,152.75 is: 11,917,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,878.50 : 5,470,152.75 = 5,470,152.75 : x
  2. Step 2: Convert to fraction form
    2,510,878.50/5,470,152.75 = 5,470,152.75/x
  3. Step 3: Cross multiply
    2,510,878.50x = 5,470,152.75 × 5,470,152.75
  4. Step 4: Simplify right side
    2,510,878.50x = 29,922,571,108,332.56
  5. Step 5: Solve for x
    x = 29,922,571,108,332.56/2,510,878.50
  6. Step 6: Final answer
    x = 11,917,172.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.