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Finding the Third Proportional to 64,982,633 and 142,717,984

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Solution

The third proportional to 64,982,633 and 142,717,984 is: 313,444,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982,633 : 142,717,984 = 142,717,984 : x
  2. Step 2: Convert to fraction form
    64,982,633/142,717,984 = 142,717,984/x
  3. Step 3: Cross multiply
    64,982,633x = 142,717,984 × 142,717,984
  4. Step 4: Simplify right side
    64,982,633x = 20,368,422,957,024,256
  5. Step 5: Solve for x
    x = 20,368,422,957,024,256/64,982,633
  6. Step 6: Final answer
    x = 313,444,100.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.