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Finding the Third Proportional to 4,932,749,508 and 11,510,146,602

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Solution

The third proportional to 4,932,749,508 and 11,510,146,602 is: 26,857,936,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932,749,508 : 11,510,146,602 = 11,510,146,602 : x
  2. Step 2: Convert to fraction form
    4,932,749,508/11,510,146,602 = 11,510,146,602/x
  3. Step 3: Cross multiply
    4,932,749,508x = 11,510,146,602 × 11,510,146,602
  4. Step 4: Simplify right side
    4,932,749,508x = 132,483,474,799,532,146,688
  5. Step 5: Solve for x
    x = 132,483,474,799,532,146,688/4,932,749,508
  6. Step 6: Final answer
    x = 26,857,936,853.41

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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.