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Finding the Third Proportional to 17,690,602.50 and 37,840,505.06

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Solution

The third proportional to 17,690,602.50 and 37,840,505.06 is: 80,941,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690,602.50 : 37,840,505.06 = 37,840,505.06 : x
  2. Step 2: Convert to fraction form
    17,690,602.50/37,840,505.06 = 37,840,505.06/x
  3. Step 3: Cross multiply
    17,690,602.50x = 37,840,505.06 × 37,840,505.06
  4. Step 4: Simplify right side
    17,690,602.50x = 1,431,903,823,385,088.25
  5. Step 5: Solve for x
    x = 1,431,903,823,385,088.25/17,690,602.50
  6. Step 6: Final answer
    x = 80,941,495.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.