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Finding the Third Proportional to 17,312,466 and 27,016,821

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Solution

The third proportional to 17,312,466 and 27,016,821 is: 42,160,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312,466 : 27,016,821 = 27,016,821 : x
  2. Step 2: Convert to fraction form
    17,312,466/27,016,821 = 27,016,821/x
  3. Step 3: Cross multiply
    17,312,466x = 27,016,821 × 27,016,821
  4. Step 4: Simplify right side
    17,312,466x = 729,908,616,946,041
  5. Step 5: Solve for x
    x = 729,908,616,946,041/17,312,466
  6. Step 6: Final answer
    x = 42,160,869.34

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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.