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Finding the Third Proportional to 32,696,905.50 and 70,088,271.75

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Solution

The third proportional to 32,696,905.50 and 70,088,271.75 is: 150,239,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696,905.50 : 70,088,271.75 = 70,088,271.75 : x
  2. Step 2: Convert to fraction form
    32,696,905.50/70,088,271.75 = 70,088,271.75/x
  3. Step 3: Cross multiply
    32,696,905.50x = 70,088,271.75 × 70,088,271.75
  4. Step 4: Simplify right side
    32,696,905.50x = 4,912,365,836,901,848
  5. Step 5: Solve for x
    x = 4,912,365,836,901,848/32,696,905.50
  6. Step 6: Final answer
    x = 150,239,472.57

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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.