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Finding the Third Proportional to 1,841,384,034 and 3,945,418,020

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Solution

The third proportional to 1,841,384,034 and 3,945,418,020 is: 8,453,599,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,384,034 : 3,945,418,020 = 3,945,418,020 : x
  2. Step 2: Convert to fraction form
    1,841,384,034/3,945,418,020 = 3,945,418,020/x
  3. Step 3: Cross multiply
    1,841,384,034x = 3,945,418,020 × 3,945,418,020
  4. Step 4: Simplify right side
    1,841,384,034x = 15,566,323,352,540,721,152
  5. Step 5: Solve for x
    x = 15,566,323,352,540,721,152/1,841,384,034
  6. Step 6: Final answer
    x = 8,453,599,610.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.