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Finding the Third Proportional to 35,568,860 and 82,336,784

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Solution

The third proportional to 35,568,860 and 82,336,784 is: 190,597,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,568,860 : 82,336,784 = 82,336,784 : x
  2. Step 2: Convert to fraction form
    35,568,860/82,336,784 = 82,336,784/x
  3. Step 3: Cross multiply
    35,568,860x = 82,336,784 × 82,336,784
  4. Step 4: Simplify right side
    35,568,860x = 6,779,345,999,462,656
  5. Step 5: Solve for x
    x = 6,779,345,999,462,656/35,568,860
  6. Step 6: Final answer
    x = 190,597,786.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.