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Finding the Third Proportional to 37,739,083 and 82,310,012

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Solution

The third proportional to 37,739,083 and 82,310,012 is: 179,520,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,739,083 : 82,310,012 = 82,310,012 : x
  2. Step 2: Convert to fraction form
    37,739,083/82,310,012 = 82,310,012/x
  3. Step 3: Cross multiply
    37,739,083x = 82,310,012 × 82,310,012
  4. Step 4: Simplify right side
    37,739,083x = 6,774,938,075,440,144
  5. Step 5: Solve for x
    x = 6,774,938,075,440,144/37,739,083
  6. Step 6: Final answer
    x = 179,520,474.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.