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Finding the Third Proportional to 39,927,852 and 81,743,814

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Solution

The third proportional to 39,927,852 and 81,743,814 is: 167,353,133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,927,852 : 81,743,814 = 81,743,814 : x
  2. Step 2: Convert to fraction form
    39,927,852/81,743,814 = 81,743,814/x
  3. Step 3: Cross multiply
    39,927,852x = 81,743,814 × 81,743,814
  4. Step 4: Simplify right side
    39,927,852x = 6,682,051,127,266,596
  5. Step 5: Solve for x
    x = 6,682,051,127,266,596/39,927,852
  6. Step 6: Final answer
    x = 167,353,133.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.