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Finding the Third Proportional to 53,267,929,737 and 115,913,160,903

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Solution

The third proportional to 53,267,929,737 and 115,913,160,903 is: 252,231,707,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,267,929,737 : 115,913,160,903 = 115,913,160,903 : x
  2. Step 2: Convert to fraction form
    53,267,929,737/115,913,160,903 = 115,913,160,903/x
  3. Step 3: Cross multiply
    53,267,929,737x = 115,913,160,903 × 115,913,160,903
  4. Step 4: Simplify right side
    53,267,929,737x = 13,435,860,870,524,766,781,440
  5. Step 5: Solve for x
    x = 13,435,860,870,524,766,781,440/53,267,929,737
  6. Step 6: Final answer
    x = 252,231,707,461.91

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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.