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Finding the Third Proportional to 7,129,926 and 14,847,324

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Solution

The third proportional to 7,129,926 and 14,847,324 is: 30,917,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129,926 : 14,847,324 = 14,847,324 : x
  2. Step 2: Convert to fraction form
    7,129,926/14,847,324 = 14,847,324/x
  3. Step 3: Cross multiply
    7,129,926x = 14,847,324 × 14,847,324
  4. Step 4: Simplify right side
    7,129,926x = 220,443,029,960,976
  5. Step 5: Solve for x
    x = 220,443,029,960,976/7,129,926
  6. Step 6: Final answer
    x = 30,917,996.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.