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Finding the Third Proportional to 7,726,511 and 16,798,235

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Solution

The third proportional to 7,726,511 and 16,798,235 is: 36,521,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726,511 : 16,798,235 = 16,798,235 : x
  2. Step 2: Convert to fraction form
    7,726,511/16,798,235 = 16,798,235/x
  3. Step 3: Cross multiply
    7,726,511x = 16,798,235 × 16,798,235
  4. Step 4: Simplify right side
    7,726,511x = 282,180,699,115,225
  5. Step 5: Solve for x
    x = 282,180,699,115,225/7,726,511
  6. Step 6: Final answer
    x = 36,521,102.36

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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.