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Finding the Third Proportional to 4,906,159,188 and 10,700,281,556

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Solution

The third proportional to 4,906,159,188 and 10,700,281,556 is: 23,337,201,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906,159,188 : 10,700,281,556 = 10,700,281,556 : x
  2. Step 2: Convert to fraction form
    4,906,159,188/10,700,281,556 = 10,700,281,556/x
  3. Step 3: Cross multiply
    4,906,159,188x = 10,700,281,556 × 10,700,281,556
  4. Step 4: Simplify right side
    4,906,159,188x = 114,496,025,377,673,773,056
  5. Step 5: Solve for x
    x = 114,496,025,377,673,773,056/4,906,159,188
  6. Step 6: Final answer
    x = 23,337,201,462.55

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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.