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Finding the Third Proportional to 7,176,976 and 15,674,912

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Solution

The third proportional to 7,176,976 and 15,674,912 is: 34,234,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176,976 : 15,674,912 = 15,674,912 : x
  2. Step 2: Convert to fraction form
    7,176,976/15,674,912 = 15,674,912/x
  3. Step 3: Cross multiply
    7,176,976x = 15,674,912 × 15,674,912
  4. Step 4: Simplify right side
    7,176,976x = 245,702,866,207,744
  5. Step 5: Solve for x
    x = 245,702,866,207,744/7,176,976
  6. Step 6: Final answer
    x = 34,234,873.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.