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Finding the Third Proportional to 5,235,882 and 8,102,655

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Solution

The third proportional to 5,235,882 and 8,102,655 is: 12,539,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235,882 : 8,102,655 = 8,102,655 : x
  2. Step 2: Convert to fraction form
    5,235,882/8,102,655 = 8,102,655/x
  3. Step 3: Cross multiply
    5,235,882x = 8,102,655 × 8,102,655
  4. Step 4: Simplify right side
    5,235,882x = 65,653,018,049,025
  5. Step 5: Solve for x
    x = 65,653,018,049,025/5,235,882
  6. Step 6: Final answer
    x = 12,539,056.08

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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.