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Finding the Third Proportional to 82,360,047 and 175,663,662

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Solution

The third proportional to 82,360,047 and 175,663,662 is: 374,668,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,360,047 : 175,663,662 = 175,663,662 : x
  2. Step 2: Convert to fraction form
    82,360,047/175,663,662 = 175,663,662/x
  3. Step 3: Cross multiply
    82,360,047x = 175,663,662 × 175,663,662
  4. Step 4: Simplify right side
    82,360,047x = 30,857,722,147,250,244
  5. Step 5: Solve for x
    x = 30,857,722,147,250,244/82,360,047
  6. Step 6: Final answer
    x = 374,668,583.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.