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Finding the Third Proportional to 56,553,380,911 and 123,035,847,500

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Solution

The third proportional to 56,553,380,911 and 123,035,847,500 is: 267,673,117,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,553,380,911 : 123,035,847,500 = 123,035,847,500 : x
  2. Step 2: Convert to fraction form
    56,553,380,911/123,035,847,500 = 123,035,847,500/x
  3. Step 3: Cross multiply
    56,553,380,911x = 123,035,847,500 × 123,035,847,500
  4. Step 4: Simplify right side
    56,553,380,911x = 15,137,819,770,043,255,226,368
  5. Step 5: Solve for x
    x = 15,137,819,770,043,255,226,368/56,553,380,911
  6. Step 6: Final answer
    x = 267,673,117,436.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.