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Finding the Third Proportional to 741,720,501,944 and 1,606,663,419,807

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Solution

The third proportional to 741,720,501,944 and 1,606,663,419,807 is: 3,480,242,676,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,720,501,944 : 1,606,663,419,807 = 1,606,663,419,807 : x
  2. Step 2: Convert to fraction form
    741,720,501,944/1,606,663,419,807 = 1,606,663,419,807/x
  3. Step 3: Cross multiply
    741,720,501,944x = 1,606,663,419,807 × 1,606,663,419,807
  4. Step 4: Simplify right side
    741,720,501,944x = 2,581,367,344,545,924,061,855,744
  5. Step 5: Solve for x
    x = 2,581,367,344,545,924,061,855,744/741,720,501,944
  6. Step 6: Final answer
    x = 3,480,242,676,021.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.