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Finding the Third Proportional to 32,321,160 and 69,770,106

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Solution

The third proportional to 32,321,160 and 69,770,106 is: 150,609,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321,160 : 69,770,106 = 69,770,106 : x
  2. Step 2: Convert to fraction form
    32,321,160/69,770,106 = 69,770,106/x
  3. Step 3: Cross multiply
    32,321,160x = 69,770,106 × 69,770,106
  4. Step 4: Simplify right side
    32,321,160x = 4,867,867,691,251,236
  5. Step 5: Solve for x
    x = 4,867,867,691,251,236/32,321,160
  6. Step 6: Final answer
    x = 150,609,312.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.