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Finding the Third Proportional to 40,804,848 and 86,214,990

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Solution

The third proportional to 40,804,848 and 86,214,990 is: 182,160,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,804,848 : 86,214,990 = 86,214,990 : x
  2. Step 2: Convert to fraction form
    40,804,848/86,214,990 = 86,214,990/x
  3. Step 3: Cross multiply
    40,804,848x = 86,214,990 × 86,214,990
  4. Step 4: Simplify right side
    40,804,848x = 7,433,024,500,700,100
  5. Step 5: Solve for x
    x = 7,433,024,500,700,100/40,804,848
  6. Step 6: Final answer
    x = 182,160,328.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.