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Finding the Third Proportional to 4,932,749,510 and 11,510,146,607

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Solution

The third proportional to 4,932,749,510 and 11,510,146,607 is: 26,857,936,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932,749,510 : 11,510,146,607 = 11,510,146,607 : x
  2. Step 2: Convert to fraction form
    4,932,749,510/11,510,146,607 = 11,510,146,607/x
  3. Step 3: Cross multiply
    4,932,749,510x = 11,510,146,607 × 11,510,146,607
  4. Step 4: Simplify right side
    4,932,749,510x = 132,483,474,914,633,613,312
  5. Step 5: Solve for x
    x = 132,483,474,914,633,613,312/4,932,749,510
  6. Step 6: Final answer
    x = 26,857,936,865.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.