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Finding the Third Proportional to 29,785,635 and 64,276,735.50

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Solution

The third proportional to 29,785,635 and 64,276,735.50 is: 138,707,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785,635 : 64,276,735.50 = 64,276,735.50 : x
  2. Step 2: Convert to fraction form
    29,785,635/64,276,735.50 = 64,276,735.50/x
  3. Step 3: Cross multiply
    29,785,635x = 64,276,735.50 × 64,276,735.50
  4. Step 4: Simplify right side
    29,785,635x = 4,131,498,726,536,960
  5. Step 5: Solve for x
    x = 4,131,498,726,536,960/29,785,635
  6. Step 6: Final answer
    x = 138,707,760.52

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Why These Related Problems?

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