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Finding the Third Proportional to 2,697,188.91 and 5,776,965.84

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Solution

The third proportional to 2,697,188.91 and 5,776,965.84 is: 12,373,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,188.91 : 5,776,965.84 = 5,776,965.84 : x
  2. Step 2: Convert to fraction form
    2,697,188.91/5,776,965.84 = 5,776,965.84/x
  3. Step 3: Cross multiply
    2,697,188.91x = 5,776,965.84 × 5,776,965.84
  4. Step 4: Simplify right side
    2,697,188.91x = 33,373,334,359,854.15
  5. Step 5: Solve for x
    x = 33,373,334,359,854.15/2,697,188.91
  6. Step 6: Final answer
    x = 12,373,376.70

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Why These Related Problems?

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