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Finding the Third Proportional to 13,414,241 and 29,096,946

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Solution

The third proportional to 13,414,241 and 29,096,946 is: 63,114,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414,241 : 29,096,946 = 29,096,946 : x
  2. Step 2: Convert to fraction form
    13,414,241/29,096,946 = 29,096,946/x
  3. Step 3: Cross multiply
    13,414,241x = 29,096,946 × 29,096,946
  4. Step 4: Simplify right side
    13,414,241x = 846,632,266,526,916
  5. Step 5: Solve for x
    x = 846,632,266,526,916/13,414,241
  6. Step 6: Final answer
    x = 63,114,436.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.