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Finding the Third Proportional to 538,056,000 and 1,158,633,248

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Solution

The third proportional to 538,056,000 and 1,158,633,248 is: 2,494,965,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,056,000 : 1,158,633,248 = 1,158,633,248 : x
  2. Step 2: Convert to fraction form
    538,056,000/1,158,633,248 = 1,158,633,248/x
  3. Step 3: Cross multiply
    538,056,000x = 1,158,633,248 × 1,158,633,248
  4. Step 4: Simplify right side
    538,056,000x = 1,342,431,003,371,029,504
  5. Step 5: Solve for x
    x = 1,342,431,003,371,029,504/538,056,000
  6. Step 6: Final answer
    x = 2,494,965,214.35

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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.