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Finding the Third Proportional to 23,578,704 and 37,493,779.50

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Solution

The third proportional to 23,578,704 and 37,493,779.50 is: 59,620,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578,704 : 37,493,779.50 = 37,493,779.50 : x
  2. Step 2: Convert to fraction form
    23,578,704/37,493,779.50 = 37,493,779.50/x
  3. Step 3: Cross multiply
    23,578,704x = 37,493,779.50 × 37,493,779.50
  4. Step 4: Simplify right side
    23,578,704x = 1,405,783,501,194,620.25
  5. Step 5: Solve for x
    x = 1,405,783,501,194,620.25/23,578,704
  6. Step 6: Final answer
    x = 59,620,897.79

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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.