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Finding the Third Proportional to 5,414,733,210,201 and 8,191,740,703,626

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Solution

The third proportional to 5,414,733,210,201 and 8,191,740,703,626 is: 12,392,968,065,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414,733,210,201 : 8,191,740,703,626 = 8,191,740,703,626 : x
  2. Step 2: Convert to fraction form
    5,414,733,210,201/8,191,740,703,626 = 8,191,740,703,626/x
  3. Step 3: Cross multiply
    5,414,733,210,201x = 8,191,740,703,626 × 8,191,740,703,626
  4. Step 4: Simplify right side
    5,414,733,210,201x = 67,104,615,755,442,997,243,674,624
  5. Step 5: Solve for x
    x = 67,104,615,755,442,997,243,674,624/5,414,733,210,201
  6. Step 6: Final answer
    x = 12,392,968,065,171.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.