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Finding the Third Proportional to 1,748,451,830 and 3,567,138,811

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Solution

The third proportional to 1,748,451,830 and 3,567,138,811 is: 7,277,569,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,451,830 : 3,567,138,811 = 3,567,138,811 : x
  2. Step 2: Convert to fraction form
    1,748,451,830/3,567,138,811 = 3,567,138,811/x
  3. Step 3: Cross multiply
    1,748,451,830x = 3,567,138,811 × 3,567,138,811
  4. Step 4: Simplify right side
    1,748,451,830x = 12,724,479,296,942,493,696
  5. Step 5: Solve for x
    x = 12,724,479,296,942,493,696/1,748,451,830
  6. Step 6: Final answer
    x = 7,277,569,263.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.