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Finding the Third Proportional to 83,941,674 and 180,637,932

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Solution

The third proportional to 83,941,674 and 180,637,932 is: 388,723,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,941,674 : 180,637,932 = 180,637,932 : x
  2. Step 2: Convert to fraction form
    83,941,674/180,637,932 = 180,637,932/x
  3. Step 3: Cross multiply
    83,941,674x = 180,637,932 × 180,637,932
  4. Step 4: Simplify right side
    83,941,674x = 32,630,062,477,236,624
  5. Step 5: Solve for x
    x = 32,630,062,477,236,624/83,941,674
  6. Step 6: Final answer
    x = 388,723,037.35

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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.