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Finding the Third Proportional to 306,471,519,753 and 716,055,782,902

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Solution

The third proportional to 306,471,519,753 and 716,055,782,902 is: 1,673,029,469,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,471,519,753 : 716,055,782,902 = 716,055,782,902 : x
  2. Step 2: Convert to fraction form
    306,471,519,753/716,055,782,902 = 716,055,782,902/x
  3. Step 3: Cross multiply
    306,471,519,753x = 716,055,782,902 × 716,055,782,902
  4. Step 4: Simplify right side
    306,471,519,753x = 512,735,884,227,396,144,988,160
  5. Step 5: Solve for x
    x = 512,735,884,227,396,144,988,160/306,471,519,753
  6. Step 6: Final answer
    x = 1,673,029,469,885.60

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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.