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Finding the Third Proportional to 11,330,880 and 17,341,056

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Solution

The third proportional to 11,330,880 and 17,341,056 is: 26,539,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330,880 : 17,341,056 = 17,341,056 : x
  2. Step 2: Convert to fraction form
    11,330,880/17,341,056 = 17,341,056/x
  3. Step 3: Cross multiply
    11,330,880x = 17,341,056 × 17,341,056
  4. Step 4: Simplify right side
    11,330,880x = 300,712,223,195,136
  5. Step 5: Solve for x
    x = 300,712,223,195,136/11,330,880
  6. Step 6: Final answer
    x = 26,539,176.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.