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Finding the Third Proportional to 538,056,216 and 1,158,633,720

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Solution

The third proportional to 538,056,216 and 1,158,633,720 is: 2,494,966,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,056,216 : 1,158,633,720 = 1,158,633,720 : x
  2. Step 2: Convert to fraction form
    538,056,216/1,158,633,720 = 1,158,633,720/x
  3. Step 3: Cross multiply
    538,056,216x = 1,158,633,720 × 1,158,633,720
  4. Step 4: Simplify right side
    538,056,216x = 1,342,432,097,121,038,336
  5. Step 5: Solve for x
    x = 1,342,432,097,121,038,336/538,056,216
  6. Step 6: Final answer
    x = 2,494,966,245.54

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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.