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Finding the Third Proportional to 7,986,957 and 17,230,347

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Solution

The third proportional to 7,986,957 and 17,230,347 is: 37,171,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986,957 : 17,230,347 = 17,230,347 : x
  2. Step 2: Convert to fraction form
    7,986,957/17,230,347 = 17,230,347/x
  3. Step 3: Cross multiply
    7,986,957x = 17,230,347 × 17,230,347
  4. Step 4: Simplify right side
    7,986,957x = 296,884,857,740,409
  5. Step 5: Solve for x
    x = 296,884,857,740,409/7,986,957
  6. Step 6: Final answer
    x = 37,171,210.23

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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.