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Finding the Third Proportional to 7,745,696 and 16,377,892

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Solution

The third proportional to 7,745,696 and 16,377,892 is: 34,630,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745,696 : 16,377,892 = 16,377,892 : x
  2. Step 2: Convert to fraction form
    7,745,696/16,377,892 = 16,377,892/x
  3. Step 3: Cross multiply
    7,745,696x = 16,377,892 × 16,377,892
  4. Step 4: Simplify right side
    7,745,696x = 268,235,346,363,664
  5. Step 5: Solve for x
    x = 268,235,346,363,664/7,745,696
  6. Step 6: Final answer
    x = 34,630,244.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.