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Finding the Third Proportional to 2,765,025 and 6,014,740.50

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Solution

The third proportional to 2,765,025 and 6,014,740.50 is: 13,083,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,025 : 6,014,740.50 = 6,014,740.50 : x
  2. Step 2: Convert to fraction form
    2,765,025/6,014,740.50 = 6,014,740.50/x
  3. Step 3: Cross multiply
    2,765,025x = 6,014,740.50 × 6,014,740.50
  4. Step 4: Simplify right side
    2,765,025x = 36,177,103,282,340.25
  5. Step 5: Solve for x
    x = 36,177,103,282,340.25/2,765,025
  6. Step 6: Final answer
    x = 13,083,825.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.