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Finding the Third Proportional to 17,312,030 and 27,016,164

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Solution

The third proportional to 17,312,030 and 27,016,164 is: 42,159,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312,030 : 27,016,164 = 27,016,164 : x
  2. Step 2: Convert to fraction form
    17,312,030/27,016,164 = 27,016,164/x
  3. Step 3: Cross multiply
    17,312,030x = 27,016,164 × 27,016,164
  4. Step 4: Simplify right side
    17,312,030x = 729,873,117,274,896
  5. Step 5: Solve for x
    x = 729,873,117,274,896/17,312,030
  6. Step 6: Final answer
    x = 42,159,880.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.