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Finding the Third Proportional to 29,659,256 and 64,115,368

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Solution

The third proportional to 29,659,256 and 64,115,368 is: 138,600,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,659,256 : 64,115,368 = 64,115,368 : x
  2. Step 2: Convert to fraction form
    29,659,256/64,115,368 = 64,115,368/x
  3. Step 3: Cross multiply
    29,659,256x = 64,115,368 × 64,115,368
  4. Step 4: Simplify right side
    29,659,256x = 4,110,780,413,775,424
  5. Step 5: Solve for x
    x = 4,110,780,413,775,424/29,659,256
  6. Step 6: Final answer
    x = 138,600,253.96

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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.