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Finding the Third Proportional to 7,689,416 and 16,372,696

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Solution

The third proportional to 7,689,416 and 16,372,696 is: 34,861,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,416 : 16,372,696 = 16,372,696 : x
  2. Step 2: Convert to fraction form
    7,689,416/16,372,696 = 16,372,696/x
  3. Step 3: Cross multiply
    7,689,416x = 16,372,696 × 16,372,696
  4. Step 4: Simplify right side
    7,689,416x = 268,065,174,308,416
  5. Step 5: Solve for x
    x = 268,065,174,308,416/7,689,416
  6. Step 6: Final answer
    x = 34,861,577.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.