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Finding the Third Proportional to 7,714,098 and 16,589,124

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Solution

The third proportional to 7,714,098 and 16,589,124 is: 35,674,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,098 : 16,589,124 = 16,589,124 : x
  2. Step 2: Convert to fraction form
    7,714,098/16,589,124 = 16,589,124/x
  3. Step 3: Cross multiply
    7,714,098x = 16,589,124 × 16,589,124
  4. Step 4: Simplify right side
    7,714,098x = 275,199,035,087,376
  5. Step 5: Solve for x
    x = 275,199,035,087,376/7,714,098
  6. Step 6: Final answer
    x = 35,674,817.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.