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Finding the Third Proportional to 5,258,649.09 and 7,867,014.89

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Solution

The third proportional to 5,258,649.09 and 7,867,014.89 is: 11,769,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258,649.09 : 7,867,014.89 = 7,867,014.89 : x
  2. Step 2: Convert to fraction form
    5,258,649.09/7,867,014.89 = 7,867,014.89/x
  3. Step 3: Cross multiply
    5,258,649.09x = 7,867,014.89 × 7,867,014.89
  4. Step 4: Simplify right side
    5,258,649.09x = 61,889,923,289,315.48
  5. Step 5: Solve for x
    x = 61,889,923,289,315.48/5,258,649.09
  6. Step 6: Final answer
    x = 11,769,167.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.