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Finding the Third Proportional to 17,648,738 and 38,228,072

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Solution

The third proportional to 17,648,738 and 38,228,072 is: 82,803,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648,738 : 38,228,072 = 38,228,072 : x
  2. Step 2: Convert to fraction form
    17,648,738/38,228,072 = 38,228,072/x
  3. Step 3: Cross multiply
    17,648,738x = 38,228,072 × 38,228,072
  4. Step 4: Simplify right side
    17,648,738x = 1,461,385,488,837,184
  5. Step 5: Solve for x
    x = 1,461,385,488,837,184/17,648,738
  6. Step 6: Final answer
    x = 82,803,965.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.