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Finding the Third Proportional to 83,614,008 and 180,041,640

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Solution

The third proportional to 83,614,008 and 180,041,640 is: 387,674,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,614,008 : 180,041,640 = 180,041,640 : x
  2. Step 2: Convert to fraction form
    83,614,008/180,041,640 = 180,041,640/x
  3. Step 3: Cross multiply
    83,614,008x = 180,041,640 × 180,041,640
  4. Step 4: Simplify right side
    83,614,008x = 32,414,992,133,889,600
  5. Step 5: Solve for x
    x = 32,414,992,133,889,600/83,614,008
  6. Step 6: Final answer
    x = 387,674,181.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.