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Finding the Third Proportional to 1,173,440,448 and 2,486,759,040

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Solution

The third proportional to 1,173,440,448 and 2,486,759,040 is: 5,269,948,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173,440,448 : 2,486,759,040 = 2,486,759,040 : x
  2. Step 2: Convert to fraction form
    1,173,440,448/2,486,759,040 = 2,486,759,040/x
  3. Step 3: Cross multiply
    1,173,440,448x = 2,486,759,040 × 2,486,759,040
  4. Step 4: Simplify right side
    1,173,440,448x = 6,183,970,523,021,721,600
  5. Step 5: Solve for x
    x = 6,183,970,523,021,721,600/1,173,440,448
  6. Step 6: Final answer
    x = 5,269,948,324.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.