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Finding the Third Proportional to 17,688,520 and 38,492,299

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Solution

The third proportional to 17,688,520 and 38,492,299 is: 83,763,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688,520 : 38,492,299 = 38,492,299 : x
  2. Step 2: Convert to fraction form
    17,688,520/38,492,299 = 38,492,299/x
  3. Step 3: Cross multiply
    17,688,520x = 38,492,299 × 38,492,299
  4. Step 4: Simplify right side
    17,688,520x = 1,481,657,082,305,401
  5. Step 5: Solve for x
    x = 1,481,657,082,305,401/17,688,520
  6. Step 6: Final answer
    x = 83,763,767.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.