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Finding the Third Proportional to 1,877,068,848 and 2,839,762,608

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Solution

The third proportional to 1,877,068,848 and 2,839,762,608 is: 4,296,193,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,068,848 : 2,839,762,608 = 2,839,762,608 : x
  2. Step 2: Convert to fraction form
    1,877,068,848/2,839,762,608 = 2,839,762,608/x
  3. Step 3: Cross multiply
    1,877,068,848x = 2,839,762,608 × 2,839,762,608
  4. Step 4: Simplify right side
    1,877,068,848x = 8,064,251,669,794,961,408
  5. Step 5: Solve for x
    x = 8,064,251,669,794,961,408/1,877,068,848
  6. Step 6: Final answer
    x = 4,296,193,865.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.