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Finding the Third Proportional to 31,673,308.50 and 69,400,779.75

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Solution

The third proportional to 31,673,308.50 and 69,400,779.75 is: 152,067,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673,308.50 : 69,400,779.75 = 69,400,779.75 : x
  2. Step 2: Convert to fraction form
    31,673,308.50/69,400,779.75 = 69,400,779.75/x
  3. Step 3: Cross multiply
    31,673,308.50x = 69,400,779.75 × 69,400,779.75
  4. Step 4: Simplify right side
    31,673,308.50x = 4,816,468,229,908,010
  5. Step 5: Solve for x
    x = 4,816,468,229,908,010/31,673,308.50
  6. Step 6: Final answer
    x = 152,067,101.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.