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Finding the Third Proportional to 30,785,634.14 and 66,929,828.34

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Solution

The third proportional to 30,785,634.14 and 66,929,828.34 is: 145,509,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785,634.14 : 66,929,828.34 = 66,929,828.34 : x
  2. Step 2: Convert to fraction form
    30,785,634.14/66,929,828.34 = 66,929,828.34/x
  3. Step 3: Cross multiply
    30,785,634.14x = 66,929,828.34 × 66,929,828.34
  4. Step 4: Simplify right side
    30,785,634.14x = 4,479,601,922,123,841
  5. Step 5: Solve for x
    x = 4,479,601,922,123,841/30,785,634.14
  6. Step 6: Final answer
    x = 145,509,489.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.