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Finding the Third Proportional to 64,966,285 and 144,458,006

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Solution

The third proportional to 64,966,285 and 144,458,006 is: 321,214,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966,285 : 144,458,006 = 144,458,006 : x
  2. Step 2: Convert to fraction form
    64,966,285/144,458,006 = 144,458,006/x
  3. Step 3: Cross multiply
    64,966,285x = 144,458,006 × 144,458,006
  4. Step 4: Simplify right side
    64,966,285x = 20,868,115,497,496,036
  5. Step 5: Solve for x
    x = 20,868,115,497,496,036/64,966,285
  6. Step 6: Final answer
    x = 321,214,542.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.