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Finding the Third Proportional to 7,143,714 and 15,674,850

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Solution

The third proportional to 7,143,714 and 15,674,850 is: 34,394,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143,714 : 15,674,850 = 15,674,850 : x
  2. Step 2: Convert to fraction form
    7,143,714/15,674,850 = 15,674,850/x
  3. Step 3: Cross multiply
    7,143,714x = 15,674,850 × 15,674,850
  4. Step 4: Simplify right side
    7,143,714x = 245,700,922,522,500
  5. Step 5: Solve for x
    x = 245,700,922,522,500/7,143,714
  6. Step 6: Final answer
    x = 34,394,003.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.