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Finding the Third Proportional to 32,548,519.50 and 69,627,106.50

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Solution

The third proportional to 32,548,519.50 and 69,627,106.50 is: 148,944,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548,519.50 : 69,627,106.50 = 69,627,106.50 : x
  2. Step 2: Convert to fraction form
    32,548,519.50/69,627,106.50 = 69,627,106.50/x
  3. Step 3: Cross multiply
    32,548,519.50x = 69,627,106.50 × 69,627,106.50
  4. Step 4: Simplify right side
    32,548,519.50x = 4,847,933,959,562,342
  5. Step 5: Solve for x
    x = 4,847,933,959,562,342/32,548,519.50
  6. Step 6: Final answer
    x = 148,944,837.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.