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Finding the Third Proportional to 416,714,756 and 613,026,054

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Solution

The third proportional to 416,714,756 and 613,026,054 is: 901,818,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,714,756 : 613,026,054 = 613,026,054 : x
  2. Step 2: Convert to fraction form
    416,714,756/613,026,054 = 613,026,054/x
  3. Step 3: Cross multiply
    416,714,756x = 613,026,054 × 613,026,054
  4. Step 4: Simplify right side
    416,714,756x = 375,800,942,882,810,944
  5. Step 5: Solve for x
    x = 375,800,942,882,810,944/416,714,756
  6. Step 6: Final answer
    x = 901,818,180.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.