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Finding the Third Proportional to 5,964,867 and 9,120,633

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Solution

The third proportional to 5,964,867 and 9,120,633 is: 13,945,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964,867 : 9,120,633 = 9,120,633 : x
  2. Step 2: Convert to fraction form
    5,964,867/9,120,633 = 9,120,633/x
  3. Step 3: Cross multiply
    5,964,867x = 9,120,633 × 9,120,633
  4. Step 4: Simplify right side
    5,964,867x = 83,185,946,320,689
  5. Step 5: Solve for x
    x = 83,185,946,320,689/5,964,867
  6. Step 6: Final answer
    x = 13,945,985.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.