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Finding the Third Proportional to 6,551,500 and 14,176,136

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Solution

The third proportional to 6,551,500 and 14,176,136 is: 30,674,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551,500 : 14,176,136 = 14,176,136 : x
  2. Step 2: Convert to fraction form
    6,551,500/14,176,136 = 14,176,136/x
  3. Step 3: Cross multiply
    6,551,500x = 14,176,136 × 14,176,136
  4. Step 4: Simplify right side
    6,551,500x = 200,962,831,890,496
  5. Step 5: Solve for x
    x = 200,962,831,890,496/6,551,500
  6. Step 6: Final answer
    x = 30,674,323.73

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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.