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Finding the Third Proportional to 826,489,336.69 and 1,798,255,069.13

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Solution

The third proportional to 826,489,336.69 and 1,798,255,069.13 is: 3,912,598,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,489,336.69 : 1,798,255,069.13 = 1,798,255,069.13 : x
  2. Step 2: Convert to fraction form
    826,489,336.69/1,798,255,069.13 = 1,798,255,069.13/x
  3. Step 3: Cross multiply
    826,489,336.69x = 1,798,255,069.13 × 1,798,255,069.13
  4. Step 4: Simplify right side
    826,489,336.69x = 3,233,721,293,633,758,720
  5. Step 5: Solve for x
    x = 3,233,721,293,633,758,720/826,489,336.69
  6. Step 6: Final answer
    x = 3,912,598,929.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.