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Finding the Third Proportional to 38,362,582 and 82,183,486.50

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Solution

The third proportional to 38,362,582 and 82,183,486.50 is: 176,060,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362,582 : 82,183,486.50 = 82,183,486.50 : x
  2. Step 2: Convert to fraction form
    38,362,582/82,183,486.50 = 82,183,486.50/x
  3. Step 3: Cross multiply
    38,362,582x = 82,183,486.50 × 82,183,486.50
  4. Step 4: Simplify right side
    38,362,582x = 6,754,125,453,295,682
  5. Step 5: Solve for x
    x = 6,754,125,453,295,682/38,362,582
  6. Step 6: Final answer
    x = 176,060,241.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.