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Finding the Third Proportional to 767,353,862 and 1,664,951,836

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Solution

The third proportional to 767,353,862 and 1,664,951,836 is: 3,612,498,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,353,862 : 1,664,951,836 = 1,664,951,836 : x
  2. Step 2: Convert to fraction form
    767,353,862/1,664,951,836 = 1,664,951,836/x
  3. Step 3: Cross multiply
    767,353,862x = 1,664,951,836 × 1,664,951,836
  4. Step 4: Simplify right side
    767,353,862x = 2,772,064,616,199,771,136
  5. Step 5: Solve for x
    x = 2,772,064,616,199,771,136/767,353,862
  6. Step 6: Final answer
    x = 3,612,498,422.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.