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Finding the Third Proportional to 7,402,007 and 16,505,951

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Solution

The third proportional to 7,402,007 and 16,505,951 is: 36,807,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402,007 : 16,505,951 = 16,505,951 : x
  2. Step 2: Convert to fraction form
    7,402,007/16,505,951 = 16,505,951/x
  3. Step 3: Cross multiply
    7,402,007x = 16,505,951 × 16,505,951
  4. Step 4: Simplify right side
    7,402,007x = 272,446,418,414,401
  5. Step 5: Solve for x
    x = 272,446,418,414,401/7,402,007
  6. Step 6: Final answer
    x = 36,807,100.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.