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Finding the Third Proportional to 37,741,113 and 82,548,423

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Solution

The third proportional to 37,741,113 and 82,548,423 is: 180,552,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741,113 : 82,548,423 = 82,548,423 : x
  2. Step 2: Convert to fraction form
    37,741,113/82,548,423 = 82,548,423/x
  3. Step 3: Cross multiply
    37,741,113x = 82,548,423 × 82,548,423
  4. Step 4: Simplify right side
    37,741,113x = 6,814,242,139,786,929
  5. Step 5: Solve for x
    x = 6,814,242,139,786,929/37,741,113
  6. Step 6: Final answer
    x = 180,552,230.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.