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Finding the Third Proportional to 12,576,069 and 17,798,728.50

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Solution

The third proportional to 12,576,069 and 17,798,728.50 is: 25,190,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576,069 : 17,798,728.50 = 17,798,728.50 : x
  2. Step 2: Convert to fraction form
    12,576,069/17,798,728.50 = 17,798,728.50/x
  3. Step 3: Cross multiply
    12,576,069x = 17,798,728.50 × 17,798,728.50
  4. Step 4: Simplify right side
    12,576,069x = 316,794,736,216,712.25
  5. Step 5: Solve for x
    x = 316,794,736,216,712.25/12,576,069
  6. Step 6: Final answer
    x = 25,190,282.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.