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Finding the Third Proportional to 17,732,931 and 38,201,421

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Solution

The third proportional to 17,732,931 and 38,201,421 is: 82,295,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732,931 : 38,201,421 = 38,201,421 : x
  2. Step 2: Convert to fraction form
    17,732,931/38,201,421 = 38,201,421/x
  3. Step 3: Cross multiply
    17,732,931x = 38,201,421 × 38,201,421
  4. Step 4: Simplify right side
    17,732,931x = 1,459,348,566,419,241
  5. Step 5: Solve for x
    x = 1,459,348,566,419,241/17,732,931
  6. Step 6: Final answer
    x = 82,295,959.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.