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Finding the Third Proportional to 7,520,934 and 11,457,657

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Solution

The third proportional to 7,520,934 and 11,457,657 is: 17,455,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520,934 : 11,457,657 = 11,457,657 : x
  2. Step 2: Convert to fraction form
    7,520,934/11,457,657 = 11,457,657/x
  3. Step 3: Cross multiply
    7,520,934x = 11,457,657 × 11,457,657
  4. Step 4: Simplify right side
    7,520,934x = 131,277,903,929,649
  5. Step 5: Solve for x
    x = 131,277,903,929,649/7,520,934
  6. Step 6: Final answer
    x = 17,455,000.13

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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.