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Finding the Third Proportional to 306,471,519,806 and 716,055,782,993

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Solution

The third proportional to 306,471,519,806 and 716,055,782,993 is: 1,673,029,470,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,471,519,806 : 716,055,782,993 = 716,055,782,993 : x
  2. Step 2: Convert to fraction form
    306,471,519,806/716,055,782,993 = 716,055,782,993/x
  3. Step 3: Cross multiply
    306,471,519,806x = 716,055,782,993 × 716,055,782,993
  4. Step 4: Simplify right side
    306,471,519,806x = 512,735,884,357,718,337,650,688
  5. Step 5: Solve for x
    x = 512,735,884,357,718,337,650,688/306,471,519,806
  6. Step 6: Final answer
    x = 1,673,029,470,021.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.