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Finding the Third Proportional to 32,008,128 and 70,087,584

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Solution

The third proportional to 32,008,128 and 70,087,584 is: 153,469,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008,128 : 70,087,584 = 70,087,584 : x
  2. Step 2: Convert to fraction form
    32,008,128/70,087,584 = 70,087,584/x
  3. Step 3: Cross multiply
    32,008,128x = 70,087,584 × 70,087,584
  4. Step 4: Simplify right side
    32,008,128x = 4,912,269,430,957,056
  5. Step 5: Solve for x
    x = 4,912,269,430,957,056/32,008,128
  6. Step 6: Final answer
    x = 153,469,438.48

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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.