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Finding the Third Proportional to 23,582,014.31 and 37,498,817.53

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Solution

The third proportional to 23,582,014.31 and 37,498,817.53 is: 59,628,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582,014.31 : 37,498,817.53 = 37,498,817.53 : x
  2. Step 2: Convert to fraction form
    23,582,014.31/37,498,817.53 = 37,498,817.53/x
  3. Step 3: Cross multiply
    23,582,014.31x = 37,498,817.53 × 37,498,817.53
  4. Step 4: Simplify right side
    23,582,014.31x = 1,406,161,316,241,982.25
  5. Step 5: Solve for x
    x = 1,406,161,316,241,982.25/23,582,014.31
  6. Step 6: Final answer
    x = 59,628,549.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.