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Finding the Third Proportional to 7,520,942 and 11,457,669

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Solution

The third proportional to 7,520,942 and 11,457,669 is: 17,455,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520,942 : 11,457,669 = 11,457,669 : x
  2. Step 2: Convert to fraction form
    7,520,942/11,457,669 = 11,457,669/x
  3. Step 3: Cross multiply
    7,520,942x = 11,457,669 × 11,457,669
  4. Step 4: Simplify right side
    7,520,942x = 131,278,178,913,561
  5. Step 5: Solve for x
    x = 131,278,178,913,561/7,520,942
  6. Step 6: Final answer
    x = 17,455,018.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.