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Finding the Third Proportional to 5,256,857,032 and 11,311,013,502

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Solution

The third proportional to 5,256,857,032 and 11,311,013,502 is: 24,337,551,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256,857,032 : 11,311,013,502 = 11,311,013,502 : x
  2. Step 2: Convert to fraction form
    5,256,857,032/11,311,013,502 = 11,311,013,502/x
  3. Step 3: Cross multiply
    5,256,857,032x = 11,311,013,502 × 11,311,013,502
  4. Step 4: Simplify right side
    5,256,857,032x = 127,939,026,442,426,302,464
  5. Step 5: Solve for x
    x = 127,939,026,442,426,302,464/5,256,857,032
  6. Step 6: Final answer
    x = 24,337,551,062.09

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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.