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Finding the Third Proportional to 242,904,262,729 and 534,388,528,397

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Solution

The third proportional to 242,904,262,729 and 534,388,528,397 is: 1,175,652,893,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,904,262,729 : 534,388,528,397 = 534,388,528,397 : x
  2. Step 2: Convert to fraction form
    242,904,262,729/534,388,528,397 = 534,388,528,397/x
  3. Step 3: Cross multiply
    242,904,262,729x = 534,388,528,397 × 534,388,528,397
  4. Step 4: Simplify right side
    242,904,262,729x = 285,571,099,282,311,271,677,952
  5. Step 5: Solve for x
    x = 285,571,099,282,311,271,677,952/242,904,262,729
  6. Step 6: Final answer
    x = 1,175,652,893,341.41

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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.