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Finding the Third Proportional to 17,414,798 and 27,031,701

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Solution

The third proportional to 17,414,798 and 27,031,701 is: 41,959,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414,798 : 27,031,701 = 27,031,701 : x
  2. Step 2: Convert to fraction form
    17,414,798/27,031,701 = 27,031,701/x
  3. Step 3: Cross multiply
    17,414,798x = 27,031,701 × 27,031,701
  4. Step 4: Simplify right side
    17,414,798x = 730,712,858,953,401
  5. Step 5: Solve for x
    x = 730,712,858,953,401/17,414,798
  6. Step 6: Final answer
    x = 41,959,307.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.