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Finding the Third Proportional to 42,445,642 and 90,942,704

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Solution

The third proportional to 42,445,642 and 90,942,704 is: 194,850,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,445,642 : 90,942,704 = 90,942,704 : x
  2. Step 2: Convert to fraction form
    42,445,642/90,942,704 = 90,942,704/x
  3. Step 3: Cross multiply
    42,445,642x = 90,942,704 × 90,942,704
  4. Step 4: Simplify right side
    42,445,642x = 8,270,575,410,831,616
  5. Step 5: Solve for x
    x = 8,270,575,410,831,616/42,445,642
  6. Step 6: Final answer
    x = 194,850,991.08

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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.