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Finding the Third Proportional to 29,782,896 and 64,839,600

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Solution

The third proportional to 29,782,896 and 64,839,600 is: 141,160,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782,896 : 64,839,600 = 64,839,600 : x
  2. Step 2: Convert to fraction form
    29,782,896/64,839,600 = 64,839,600/x
  3. Step 3: Cross multiply
    29,782,896x = 64,839,600 × 64,839,600
  4. Step 4: Simplify right side
    29,782,896x = 4,204,173,728,160,000
  5. Step 5: Solve for x
    x = 4,204,173,728,160,000/29,782,896
  6. Step 6: Final answer
    x = 141,160,675.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.