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Finding the Third Proportional to 7,866,488 and 17,117,347

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Solution

The third proportional to 7,866,488 and 17,117,347 is: 37,247,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866,488 : 17,117,347 = 17,117,347 : x
  2. Step 2: Convert to fraction form
    7,866,488/17,117,347 = 17,117,347/x
  3. Step 3: Cross multiply
    7,866,488x = 17,117,347 × 17,117,347
  4. Step 4: Simplify right side
    7,866,488x = 293,003,568,318,409
  5. Step 5: Solve for x
    x = 293,003,568,318,409/7,866,488
  6. Step 6: Final answer
    x = 37,247,062.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.