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Finding the Third Proportional to 37,056,610 and 80,492,305.50

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Solution

The third proportional to 37,056,610 and 80,492,305.50 is: 174,840,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,610 : 80,492,305.50 = 80,492,305.50 : x
  2. Step 2: Convert to fraction form
    37,056,610/80,492,305.50 = 80,492,305.50/x
  3. Step 3: Cross multiply
    37,056,610x = 80,492,305.50 × 80,492,305.50
  4. Step 4: Simplify right side
    37,056,610x = 6,479,011,244,705,330
  5. Step 5: Solve for x
    x = 6,479,011,244,705,330/37,056,610
  6. Step 6: Final answer
    x = 174,840,905.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.