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Finding the Third Proportional to 17,342,213 and 38,117,581

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Solution

The third proportional to 17,342,213 and 38,117,581 is: 83,781,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342,213 : 38,117,581 = 38,117,581 : x
  2. Step 2: Convert to fraction form
    17,342,213/38,117,581 = 38,117,581/x
  3. Step 3: Cross multiply
    17,342,213x = 38,117,581 × 38,117,581
  4. Step 4: Simplify right side
    17,342,213x = 1,452,949,981,291,561
  5. Step 5: Solve for x
    x = 1,452,949,981,291,561/17,342,213
  6. Step 6: Final answer
    x = 83,781,117.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.