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Finding the Third Proportional to 7,735,156 and 16,392,352

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Solution

The third proportional to 7,735,156 and 16,392,352 is: 34,738,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,156 : 16,392,352 = 16,392,352 : x
  2. Step 2: Convert to fraction form
    7,735,156/16,392,352 = 16,392,352/x
  3. Step 3: Cross multiply
    7,735,156x = 16,392,352 × 16,392,352
  4. Step 4: Simplify right side
    7,735,156x = 268,709,204,091,904
  5. Step 5: Solve for x
    x = 268,709,204,091,904/7,735,156
  6. Step 6: Final answer
    x = 34,738,692.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.