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Finding the Third Proportional to 3,822,081,402,996.90 and 8,384,137,453,345.80

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Solution

The third proportional to 3,822,081,402,996.90 and 8,384,137,453,345.80 is: 18,391,487,104,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822,081,402,996.90 : 8,384,137,453,345.80 = 8,384,137,453,345.80 : x
  2. Step 2: Convert to fraction form
    3,822,081,402,996.90/8,384,137,453,345.80 = 8,384,137,453,345.80/x
  3. Step 3: Cross multiply
    3,822,081,402,996.90x = 8,384,137,453,345.80 × 8,384,137,453,345.80
  4. Step 4: Simplify right side
    3,822,081,402,996.90x = 70,293,760,836,595,794,168,512,512
  5. Step 5: Solve for x
    x = 70,293,760,836,595,794,168,512,512/3,822,081,402,996.90
  6. Step 6: Final answer
    x = 18,391,487,104,769.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.