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Finding the Third Proportional to 13,831,472 and 22,223,406

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Solution

The third proportional to 13,831,472 and 22,223,406 is: 35,706,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831,472 : 22,223,406 = 22,223,406 : x
  2. Step 2: Convert to fraction form
    13,831,472/22,223,406 = 22,223,406/x
  3. Step 3: Cross multiply
    13,831,472x = 22,223,406 × 22,223,406
  4. Step 4: Simplify right side
    13,831,472x = 493,879,774,240,836
  5. Step 5: Solve for x
    x = 493,879,774,240,836/13,831,472
  6. Step 6: Final answer
    x = 35,706,956.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.