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Finding the Third Proportional to 4,827,919 and 10,486,215

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Solution

The third proportional to 4,827,919 and 10,486,215 is: 22,776,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827,919 : 10,486,215 = 10,486,215 : x
  2. Step 2: Convert to fraction form
    4,827,919/10,486,215 = 10,486,215/x
  3. Step 3: Cross multiply
    4,827,919x = 10,486,215 × 10,486,215
  4. Step 4: Simplify right side
    4,827,919x = 109,960,705,026,225
  5. Step 5: Solve for x
    x = 109,960,705,026,225/4,827,919
  6. Step 6: Final answer
    x = 22,776,004.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.