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Finding the Third Proportional to 42,054,856,228 and 90,488,107,968

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Solution

The third proportional to 42,054,856,228 and 90,488,107,968 is: 194,700,408,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,054,856,228 : 90,488,107,968 = 90,488,107,968 : x
  2. Step 2: Convert to fraction form
    42,054,856,228/90,488,107,968 = 90,488,107,968/x
  3. Step 3: Cross multiply
    42,054,856,228x = 90,488,107,968 × 90,488,107,968
  4. Step 4: Simplify right side
    42,054,856,228x = 8,188,097,683,628,424,691,712
  5. Step 5: Solve for x
    x = 8,188,097,683,628,424,691,712/42,054,856,228
  6. Step 6: Final answer
    x = 194,700,408,419.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.