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Finding the Third Proportional to 27,052,782.89 and 56,762,770.78

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Solution

The third proportional to 27,052,782.89 and 56,762,770.78 is: 119,100,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052,782.89 : 56,762,770.78 = 56,762,770.78 : x
  2. Step 2: Convert to fraction form
    27,052,782.89/56,762,770.78 = 56,762,770.78/x
  3. Step 3: Cross multiply
    27,052,782.89x = 56,762,770.78 × 56,762,770.78
  4. Step 4: Simplify right side
    27,052,782.89x = 3,222,012,146,764,728.50
  5. Step 5: Solve for x
    x = 3,222,012,146,764,728.50/27,052,782.89
  6. Step 6: Final answer
    x = 119,100,950.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.