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Finding the Third Proportional to 7,737,316 and 16,102,596

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Solution

The third proportional to 7,737,316 and 16,102,596 is: 33,512,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737,316 : 16,102,596 = 16,102,596 : x
  2. Step 2: Convert to fraction form
    7,737,316/16,102,596 = 16,102,596/x
  3. Step 3: Cross multiply
    7,737,316x = 16,102,596 × 16,102,596
  4. Step 4: Simplify right side
    7,737,316x = 259,293,597,939,216
  5. Step 5: Solve for x
    x = 259,293,597,939,216/7,737,316
  6. Step 6: Final answer
    x = 33,512,085.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.