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Finding the Third Proportional to 958,110,656 and 2,078,842,768

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Solution

The third proportional to 958,110,656 and 2,078,842,768 is: 4,510,530,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,110,656 : 2,078,842,768 = 2,078,842,768 : x
  2. Step 2: Convert to fraction form
    958,110,656/2,078,842,768 = 2,078,842,768/x
  3. Step 3: Cross multiply
    958,110,656x = 2,078,842,768 × 2,078,842,768
  4. Step 4: Simplify right side
    958,110,656x = 4,321,587,254,065,901,568
  5. Step 5: Solve for x
    x = 4,321,587,254,065,901,568/958,110,656
  6. Step 6: Final answer
    x = 4,510,530,414.21

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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.