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Finding the Third Proportional to 37,941,312.50 and 81,637,122.50

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Solution

The third proportional to 37,941,312.50 and 81,637,122.50 is: 175,656,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,941,312.50 : 81,637,122.50 = 81,637,122.50 : x
  2. Step 2: Convert to fraction form
    37,941,312.50/81,637,122.50 = 81,637,122.50/x
  3. Step 3: Cross multiply
    37,941,312.50x = 81,637,122.50 × 81,637,122.50
  4. Step 4: Simplify right side
    37,941,312.50x = 6,664,619,770,080,006
  5. Step 5: Solve for x
    x = 6,664,619,770,080,006/37,941,312.50
  6. Step 6: Final answer
    x = 175,656,015.33

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