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Finding the Third Proportional to 4,831,624 and 10,419,797

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Solution

The third proportional to 4,831,624 and 10,419,797 is: 22,471,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831,624 : 10,419,797 = 10,419,797 : x
  2. Step 2: Convert to fraction form
    4,831,624/10,419,797 = 10,419,797/x
  3. Step 3: Cross multiply
    4,831,624x = 10,419,797 × 10,419,797
  4. Step 4: Simplify right side
    4,831,624x = 108,572,169,521,209
  5. Step 5: Solve for x
    x = 108,572,169,521,209/4,831,624
  6. Step 6: Final answer
    x = 22,471,154.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.