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Finding the Third Proportional to 904,636,420.88 and 1,959,488,782.03

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Solution

The third proportional to 904,636,420.88 and 1,959,488,782.03 is: 4,244,352,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,636,420.88 : 1,959,488,782.03 = 1,959,488,782.03 : x
  2. Step 2: Convert to fraction form
    904,636,420.88/1,959,488,782.03 = 1,959,488,782.03/x
  3. Step 3: Cross multiply
    904,636,420.88x = 1,959,488,782.03 × 1,959,488,782.03
  4. Step 4: Simplify right side
    904,636,420.88x = 3,839,596,286,906,115,584
  5. Step 5: Solve for x
    x = 3,839,596,286,906,115,584/904,636,420.88
  6. Step 6: Final answer
    x = 4,244,352,977.95

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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.