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Finding the Third Proportional to 37,839,459 and 83,003,910

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Solution

The third proportional to 37,839,459 and 83,003,910 is: 182,075,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,839,459 : 83,003,910 = 83,003,910 : x
  2. Step 2: Convert to fraction form
    37,839,459/83,003,910 = 83,003,910/x
  3. Step 3: Cross multiply
    37,839,459x = 83,003,910 × 83,003,910
  4. Step 4: Simplify right side
    37,839,459x = 6,889,649,075,288,100
  5. Step 5: Solve for x
    x = 6,889,649,075,288,100/37,839,459
  6. Step 6: Final answer
    x = 182,075,781.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.