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Finding the Third Proportional to 606,158,376.75 and 886,562,749.13

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Solution

The third proportional to 606,158,376.75 and 886,562,749.13 is: 1,296,680,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,158,376.75 : 886,562,749.13 = 886,562,749.13 : x
  2. Step 2: Convert to fraction form
    606,158,376.75/886,562,749.13 = 886,562,749.13/x
  3. Step 3: Cross multiply
    606,158,376.75x = 886,562,749.13 × 886,562,749.13
  4. Step 4: Simplify right side
    606,158,376.75x = 785,993,508,136,077,696
  5. Step 5: Solve for x
    x = 785,993,508,136,077,696/606,158,376.75
  6. Step 6: Final answer
    x = 1,296,680,105.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.