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Finding the Third Proportional to 29,915,714.25 and 64,300,425.75

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Solution

The third proportional to 29,915,714.25 and 64,300,425.75 is: 138,206,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,915,714.25 : 64,300,425.75 = 64,300,425.75 : x
  2. Step 2: Convert to fraction form
    29,915,714.25/64,300,425.75 = 64,300,425.75/x
  3. Step 3: Cross multiply
    29,915,714.25x = 64,300,425.75 × 64,300,425.75
  4. Step 4: Simplify right side
    29,915,714.25x = 4,134,544,751,631,263
  5. Step 5: Solve for x
    x = 4,134,544,751,631,263/29,915,714.25
  6. Step 6: Final answer
    x = 138,206,452.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.