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Finding the Third Proportional to 5,805,847.13 and 9,221,986.69

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Solution

The third proportional to 5,805,847.13 and 9,221,986.69 is: 14,648,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805,847.13 : 9,221,986.69 = 9,221,986.69 : x
  2. Step 2: Convert to fraction form
    5,805,847.13/9,221,986.69 = 9,221,986.69/x
  3. Step 3: Cross multiply
    5,805,847.13x = 9,221,986.69 × 9,221,986.69
  4. Step 4: Simplify right side
    5,805,847.13x = 85,045,038,464,427.22
  5. Step 5: Solve for x
    x = 85,045,038,464,427.22/5,805,847.13
  6. Step 6: Final answer
    x = 14,648,170.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.