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Finding the Third Proportional to 5,470,720 and 11,782,784

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Solution

The third proportional to 5,470,720 and 11,782,784 is: 25,377,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,720 : 11,782,784 = 11,782,784 : x
  2. Step 2: Convert to fraction form
    5,470,720/11,782,784 = 11,782,784/x
  3. Step 3: Cross multiply
    5,470,720x = 11,782,784 × 11,782,784
  4. Step 4: Simplify right side
    5,470,720x = 138,833,998,790,656
  5. Step 5: Solve for x
    x = 138,833,998,790,656/5,470,720
  6. Step 6: Final answer
    x = 25,377,646.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.