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Finding the Third Proportional to 524,775,642.75 and 1,214,888,780.25

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Solution

The third proportional to 524,775,642.75 and 1,214,888,780.25 is: 2,812,544,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,775,642.75 : 1,214,888,780.25 = 1,214,888,780.25 : x
  2. Step 2: Convert to fraction form
    524,775,642.75/1,214,888,780.25 = 1,214,888,780.25/x
  3. Step 3: Cross multiply
    524,775,642.75x = 1,214,888,780.25 × 1,214,888,780.25
  4. Step 4: Simplify right side
    524,775,642.75x = 1,475,954,748,377,332,736
  5. Step 5: Solve for x
    x = 1,475,954,748,377,332,736/524,775,642.75
  6. Step 6: Final answer
    x = 2,812,544,310.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.