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Finding the Third Proportional to 7,567,018 and 16,605,716

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Solution

The third proportional to 7,567,018 and 16,605,716 is: 36,441,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,018 : 16,605,716 = 16,605,716 : x
  2. Step 2: Convert to fraction form
    7,567,018/16,605,716 = 16,605,716/x
  3. Step 3: Cross multiply
    7,567,018x = 16,605,716 × 16,605,716
  4. Step 4: Simplify right side
    7,567,018x = 275,749,803,872,656
  5. Step 5: Solve for x
    x = 275,749,803,872,656/7,567,018
  6. Step 6: Final answer
    x = 36,441,013.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.