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Finding the Third Proportional to 76,217,995 and 162,267,770

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Solution

The third proportional to 76,217,995 and 162,267,770 is: 345,467,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,217,995 : 162,267,770 = 162,267,770 : x
  2. Step 2: Convert to fraction form
    76,217,995/162,267,770 = 162,267,770/x
  3. Step 3: Cross multiply
    76,217,995x = 162,267,770 × 162,267,770
  4. Step 4: Simplify right side
    76,217,995x = 26,330,829,180,772,900
  5. Step 5: Solve for x
    x = 26,330,829,180,772,900/76,217,995
  6. Step 6: Final answer
    x = 345,467,355.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.