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Finding the Third Proportional to 7,505,468 and 16,387,288

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Solution

The third proportional to 7,505,468 and 16,387,288 is: 35,779,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505,468 : 16,387,288 = 16,387,288 : x
  2. Step 2: Convert to fraction form
    7,505,468/16,387,288 = 16,387,288/x
  3. Step 3: Cross multiply
    7,505,468x = 16,387,288 × 16,387,288
  4. Step 4: Simplify right side
    7,505,468x = 268,543,207,994,944
  5. Step 5: Solve for x
    x = 268,543,207,994,944/7,505,468
  6. Step 6: Final answer
    x = 35,779,675.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.