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Finding the Third Proportional to 37,462,387.50 and 75,958,213.50

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Solution

The third proportional to 37,462,387.50 and 75,958,213.50 is: 154,011,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,462,387.50 : 75,958,213.50 = 75,958,213.50 : x
  2. Step 2: Convert to fraction form
    37,462,387.50/75,958,213.50 = 75,958,213.50/x
  3. Step 3: Cross multiply
    37,462,387.50x = 75,958,213.50 × 75,958,213.50
  4. Step 4: Simplify right side
    37,462,387.50x = 5,769,650,198,111,582
  5. Step 5: Solve for x
    x = 5,769,650,198,111,582/37,462,387.50
  6. Step 6: Final answer
    x = 154,011,812.46

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.