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Finding the Third Proportional to 52,186,322.25 and 76,682,007

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Solution

The third proportional to 52,186,322.25 and 76,682,007 is: 112,675,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,186,322.25 : 76,682,007 = 76,682,007 : x
  2. Step 2: Convert to fraction form
    52,186,322.25/76,682,007 = 76,682,007/x
  3. Step 3: Cross multiply
    52,186,322.25x = 76,682,007 × 76,682,007
  4. Step 4: Simplify right side
    52,186,322.25x = 5,880,130,197,548,049
  5. Step 5: Solve for x
    x = 5,880,130,197,548,049/52,186,322.25
  6. Step 6: Final answer
    x = 112,675,696.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.