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Finding the Third Proportional to 52,369,966,608 and 114,879,028,512

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Solution

The third proportional to 52,369,966,608 and 114,879,028,512 is: 251,999,228,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,369,966,608 : 114,879,028,512 = 114,879,028,512 : x
  2. Step 2: Convert to fraction form
    52,369,966,608/114,879,028,512 = 114,879,028,512/x
  3. Step 3: Cross multiply
    52,369,966,608x = 114,879,028,512 × 114,879,028,512
  4. Step 4: Simplify right side
    52,369,966,608x = 13,197,191,191,860,908,916,736
  5. Step 5: Solve for x
    x = 13,197,191,191,860,908,916,736/52,369,966,608
  6. Step 6: Final answer
    x = 251,999,228,692.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.