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Finding the Third Proportional to 7,572,096 and 16,421,778

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Solution

The third proportional to 7,572,096 and 16,421,778 is: 35,614,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572,096 : 16,421,778 = 16,421,778 : x
  2. Step 2: Convert to fraction form
    7,572,096/16,421,778 = 16,421,778/x
  3. Step 3: Cross multiply
    7,572,096x = 16,421,778 × 16,421,778
  4. Step 4: Simplify right side
    7,572,096x = 269,674,792,681,284
  5. Step 5: Solve for x
    x = 269,674,792,681,284/7,572,096
  6. Step 6: Final answer
    x = 35,614,286.02

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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.