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Finding the Third Proportional to 7,657,050 and 11,862,015

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Solution

The third proportional to 7,657,050 and 11,862,015 is: 18,376,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657,050 : 11,862,015 = 11,862,015 : x
  2. Step 2: Convert to fraction form
    7,657,050/11,862,015 = 11,862,015/x
  3. Step 3: Cross multiply
    7,657,050x = 11,862,015 × 11,862,015
  4. Step 4: Simplify right side
    7,657,050x = 140,707,399,860,225
  5. Step 5: Solve for x
    x = 140,707,399,860,225/7,657,050
  6. Step 6: Final answer
    x = 18,376,189.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.