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Finding the Third Proportional to 5,880,965 and 12,739,324

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Solution

The third proportional to 5,880,965 and 12,739,324 is: 27,595,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880,965 : 12,739,324 = 12,739,324 : x
  2. Step 2: Convert to fraction form
    5,880,965/12,739,324 = 12,739,324/x
  3. Step 3: Cross multiply
    5,880,965x = 12,739,324 × 12,739,324
  4. Step 4: Simplify right side
    5,880,965x = 162,290,375,976,976
  5. Step 5: Solve for x
    x = 162,290,375,976,976/5,880,965
  6. Step 6: Final answer
    x = 27,595,875.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.