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Finding the Third Proportional to 5,137,910 and 11,292,784

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Solution

The third proportional to 5,137,910 and 11,292,784 is: 24,820,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137,910 : 11,292,784 = 11,292,784 : x
  2. Step 2: Convert to fraction form
    5,137,910/11,292,784 = 11,292,784/x
  3. Step 3: Cross multiply
    5,137,910x = 11,292,784 × 11,292,784
  4. Step 4: Simplify right side
    5,137,910x = 127,526,970,470,656
  5. Step 5: Solve for x
    x = 127,526,970,470,656/5,137,910
  6. Step 6: Final answer
    x = 24,820,787.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.