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Finding the Third Proportional to 29,756,736 and 64,479,192

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Solution

The third proportional to 29,756,736 and 64,479,192 is: 139,718,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756,736 : 64,479,192 = 64,479,192 : x
  2. Step 2: Convert to fraction form
    29,756,736/64,479,192 = 64,479,192/x
  3. Step 3: Cross multiply
    29,756,736x = 64,479,192 × 64,479,192
  4. Step 4: Simplify right side
    29,756,736x = 4,157,566,200,972,864
  5. Step 5: Solve for x
    x = 4,157,566,200,972,864/29,756,736
  6. Step 6: Final answer
    x = 139,718,489.32

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Why These Related Problems?

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