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Finding the Third Proportional to 242,904,262,743 and 534,388,528,424

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Solution

The third proportional to 242,904,262,743 and 534,388,528,424 is: 1,175,652,893,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,904,262,743 : 534,388,528,424 = 534,388,528,424 : x
  2. Step 2: Convert to fraction form
    242,904,262,743/534,388,528,424 = 534,388,528,424/x
  3. Step 3: Cross multiply
    242,904,262,743x = 534,388,528,424 × 534,388,528,424
  4. Step 4: Simplify right side
    242,904,262,743x = 285,571,099,311,168,250,970,112
  5. Step 5: Solve for x
    x = 285,571,099,311,168,250,970,112/242,904,262,743
  6. Step 6: Final answer
    x = 1,175,652,893,392.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.