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Finding the Third Proportional to 31,533,268.50 and 67,780,251

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Solution

The third proportional to 31,533,268.50 and 67,780,251 is: 145,692,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533,268.50 : 67,780,251 = 67,780,251 : x
  2. Step 2: Convert to fraction form
    31,533,268.50/67,780,251 = 67,780,251/x
  3. Step 3: Cross multiply
    31,533,268.50x = 67,780,251 × 67,780,251
  4. Step 4: Simplify right side
    31,533,268.50x = 4,594,162,425,623,001
  5. Step 5: Solve for x
    x = 4,594,162,425,623,001/31,533,268.50
  6. Step 6: Final answer
    x = 145,692,554.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.