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Finding the Third Proportional to 41,503,640 and 66,302,724

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Solution

The third proportional to 41,503,640 and 66,302,724 is: 105,919,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,503,640 : 66,302,724 = 66,302,724 : x
  2. Step 2: Convert to fraction form
    41,503,640/66,302,724 = 66,302,724/x
  3. Step 3: Cross multiply
    41,503,640x = 66,302,724 × 66,302,724
  4. Step 4: Simplify right side
    41,503,640x = 4,396,051,209,820,176
  5. Step 5: Solve for x
    x = 4,396,051,209,820,176/41,503,640
  6. Step 6: Final answer
    x = 105,919,654.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.