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Finding the Third Proportional to 10,902,349 and 16,889,543

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Solution

The third proportional to 10,902,349 and 16,889,543 is: 26,164,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902,349 : 16,889,543 = 16,889,543 : x
  2. Step 2: Convert to fraction form
    10,902,349/16,889,543 = 16,889,543/x
  3. Step 3: Cross multiply
    10,902,349x = 16,889,543 × 16,889,543
  4. Step 4: Simplify right side
    10,902,349x = 285,256,662,748,849
  5. Step 5: Solve for x
    x = 285,256,662,748,849/10,902,349
  6. Step 6: Final answer
    x = 26,164,697.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.