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Finding the Third Proportional to 8,011,467 and 17,512,281

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Solution

The third proportional to 8,011,467 and 17,512,281 is: 38,280,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011,467 : 17,512,281 = 17,512,281 : x
  2. Step 2: Convert to fraction form
    8,011,467/17,512,281 = 17,512,281/x
  3. Step 3: Cross multiply
    8,011,467x = 17,512,281 × 17,512,281
  4. Step 4: Simplify right side
    8,011,467x = 306,679,985,822,961
  5. Step 5: Solve for x
    x = 306,679,985,822,961/8,011,467
  6. Step 6: Final answer
    x = 38,280,128.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.