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Finding the Third Proportional to 5,977,378.55 and 12,785,697.49

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Solution

The third proportional to 5,977,378.55 and 12,785,697.49 is: 27,348,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,378.55 : 12,785,697.49 = 12,785,697.49 : x
  2. Step 2: Convert to fraction form
    5,977,378.55/12,785,697.49 = 12,785,697.49/x
  3. Step 3: Cross multiply
    5,977,378.55x = 12,785,697.49 × 12,785,697.49
  4. Step 4: Simplify right side
    5,977,378.55x = 163,474,060,361,742.50
  5. Step 5: Solve for x
    x = 163,474,060,361,742.50/5,977,378.55
  6. Step 6: Final answer
    x = 27,348,788.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.