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Finding the Third Proportional to 10,466,168 and 14,136,276

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Solution

The third proportional to 10,466,168 and 14,136,276 is: 19,093,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466,168 : 14,136,276 = 14,136,276 : x
  2. Step 2: Convert to fraction form
    10,466,168/14,136,276 = 14,136,276/x
  3. Step 3: Cross multiply
    10,466,168x = 14,136,276 × 14,136,276
  4. Step 4: Simplify right side
    10,466,168x = 199,834,299,148,176
  5. Step 5: Solve for x
    x = 199,834,299,148,176/10,466,168
  6. Step 6: Final answer
    x = 19,093,358.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.