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Finding the Third Proportional to 958,110,658 and 2,078,842,772

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Solution

The third proportional to 958,110,658 and 2,078,842,772 is: 4,510,530,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    958,110,658 : 2,078,842,772 = 2,078,842,772 : x
  2. Step 2: Convert to fraction form
    958,110,658/2,078,842,772 = 2,078,842,772/x
  3. Step 3: Cross multiply
    958,110,658x = 2,078,842,772 × 2,078,842,772
  4. Step 4: Simplify right side
    958,110,658x = 4,321,587,270,696,644,096
  5. Step 5: Solve for x
    x = 4,321,587,270,696,644,096/958,110,658
  6. Step 6: Final answer
    x = 4,510,530,422.15

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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.