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Finding the Third Proportional to 794,797,794,835 and 1,733,445,624,019

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Solution

The third proportional to 794,797,794,835 and 1,733,445,624,019 is: 3,780,626,658,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,797,794,835 : 1,733,445,624,019 = 1,733,445,624,019 : x
  2. Step 2: Convert to fraction form
    794,797,794,835/1,733,445,624,019 = 1,733,445,624,019/x
  3. Step 3: Cross multiply
    794,797,794,835x = 1,733,445,624,019 × 1,733,445,624,019
  4. Step 4: Simplify right side
    794,797,794,835x = 3,004,833,731,430,620,187,328,512
  5. Step 5: Solve for x
    x = 3,004,833,731,430,620,187,328,512/794,797,794,835
  6. Step 6: Final answer
    x = 3,780,626,658,701.82

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Why These Related Problems?

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