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Finding the Third Proportional to 76,577,733 and 163,919,637

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Solution

The third proportional to 76,577,733 and 163,919,637 is: 350,880,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577,733 : 163,919,637 = 163,919,637 : x
  2. Step 2: Convert to fraction form
    76,577,733/163,919,637 = 163,919,637/x
  3. Step 3: Cross multiply
    76,577,733x = 163,919,637 × 163,919,637
  4. Step 4: Simplify right side
    76,577,733x = 26,869,647,394,211,768
  5. Step 5: Solve for x
    x = 26,869,647,394,211,768/76,577,733
  6. Step 6: Final answer
    x = 350,880,684.78

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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.