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Finding the Third Proportional to 8,984,900,843.33 and 19,216,137,781.09

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Solution

The third proportional to 8,984,900,843.33 and 19,216,137,781.09 is: 41,097,832,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984,900,843.33 : 19,216,137,781.09 = 19,216,137,781.09 : x
  2. Step 2: Convert to fraction form
    8,984,900,843.33/19,216,137,781.09 = 19,216,137,781.09/x
  3. Step 3: Cross multiply
    8,984,900,843.33x = 19,216,137,781.09 × 19,216,137,781.09
  4. Step 4: Simplify right side
    8,984,900,843.33x = 369,259,951,221,796,110,336
  5. Step 5: Solve for x
    x = 369,259,951,221,796,110,336/8,984,900,843.33
  6. Step 6: Final answer
    x = 41,097,832,648.41

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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.