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Finding the Third Proportional to 6,069,664.13 and 13,000,176

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Solution

The third proportional to 6,069,664.13 and 13,000,176 is: 27,844,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069,664.13 : 13,000,176 = 13,000,176 : x
  2. Step 2: Convert to fraction form
    6,069,664.13/13,000,176 = 13,000,176/x
  3. Step 3: Cross multiply
    6,069,664.13x = 13,000,176 × 13,000,176
  4. Step 4: Simplify right side
    6,069,664.13x = 169,004,576,030,976
  5. Step 5: Solve for x
    x = 169,004,576,030,976/6,069,664.13
  6. Step 6: Final answer
    x = 27,844,139.73

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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.