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Finding the Third Proportional to 682,475,682 and 1,470,077,034

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Solution

The third proportional to 682,475,682 and 1,470,077,034 is: 3,166,598,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,475,682 : 1,470,077,034 = 1,470,077,034 : x
  2. Step 2: Convert to fraction form
    682,475,682/1,470,077,034 = 1,470,077,034/x
  3. Step 3: Cross multiply
    682,475,682x = 1,470,077,034 × 1,470,077,034
  4. Step 4: Simplify right side
    682,475,682x = 2,161,126,485,894,237,184
  5. Step 5: Solve for x
    x = 2,161,126,485,894,237,184/682,475,682
  6. Step 6: Final answer
    x = 3,166,598,521.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.