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Finding the Third Proportional to 35,514,634 and 76,419,332

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Solution

The third proportional to 35,514,634 and 76,419,332 is: 164,436,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514,634 : 76,419,332 = 76,419,332 : x
  2. Step 2: Convert to fraction form
    35,514,634/76,419,332 = 76,419,332/x
  3. Step 3: Cross multiply
    35,514,634x = 76,419,332 × 76,419,332
  4. Step 4: Simplify right side
    35,514,634x = 5,839,914,303,326,224
  5. Step 5: Solve for x
    x = 5,839,914,303,326,224/35,514,634
  6. Step 6: Final answer
    x = 164,436,843.23

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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.