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Finding the Third Proportional to 5,796,290 and 12,712,324

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Solution

The third proportional to 5,796,290 and 12,712,324 is: 27,880,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796,290 : 12,712,324 = 12,712,324 : x
  2. Step 2: Convert to fraction form
    5,796,290/12,712,324 = 12,712,324/x
  3. Step 3: Cross multiply
    5,796,290x = 12,712,324 × 12,712,324
  4. Step 4: Simplify right side
    5,796,290x = 161,603,181,480,976
  5. Step 5: Solve for x
    x = 161,603,181,480,976/5,796,290
  6. Step 6: Final answer
    x = 27,880,451.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.