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Finding the Third Proportional to 780,373,266.38 and 1,841,541,232.13

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Solution

The third proportional to 780,373,266.38 and 1,841,541,232.13 is: 4,345,707,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,373,266.38 : 1,841,541,232.13 = 1,841,541,232.13 : x
  2. Step 2: Convert to fraction form
    780,373,266.38/1,841,541,232.13 = 1,841,541,232.13/x
  3. Step 3: Cross multiply
    780,373,266.38x = 1,841,541,232.13 × 1,841,541,232.13
  4. Step 4: Simplify right side
    780,373,266.38x = 3,391,274,109,616,463,360
  5. Step 5: Solve for x
    x = 3,391,274,109,616,463,360/780,373,266.38
  6. Step 6: Final answer
    x = 4,345,707,696.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.