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Finding the Third Proportional to 29,782,230 and 64,509,844

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Solution

The third proportional to 29,782,230 and 64,509,844 is: 139,731,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782,230 : 64,509,844 = 64,509,844 : x
  2. Step 2: Convert to fraction form
    29,782,230/64,509,844 = 64,509,844/x
  3. Step 3: Cross multiply
    29,782,230x = 64,509,844 × 64,509,844
  4. Step 4: Simplify right side
    29,782,230x = 4,161,519,972,904,336
  5. Step 5: Solve for x
    x = 4,161,519,972,904,336/29,782,230
  6. Step 6: Final answer
    x = 139,731,644.44

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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.