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Finding the Third Proportional to 8,144,476 and 16,852,718

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Solution

The third proportional to 8,144,476 and 16,852,718 is: 34,871,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144,476 : 16,852,718 = 16,852,718 : x
  2. Step 2: Convert to fraction form
    8,144,476/16,852,718 = 16,852,718/x
  3. Step 3: Cross multiply
    8,144,476x = 16,852,718 × 16,852,718
  4. Step 4: Simplify right side
    8,144,476x = 284,014,103,987,524
  5. Step 5: Solve for x
    x = 284,014,103,987,524/8,144,476
  6. Step 6: Final answer
    x = 34,871,992.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.