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Finding the Third Proportional to 53,267,929,735 and 115,913,160,899

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Solution

The third proportional to 53,267,929,735 and 115,913,160,899 is: 252,231,707,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,267,929,735 : 115,913,160,899 = 115,913,160,899 : x
  2. Step 2: Convert to fraction form
    53,267,929,735/115,913,160,899 = 115,913,160,899/x
  3. Step 3: Cross multiply
    53,267,929,735x = 115,913,160,899 × 115,913,160,899
  4. Step 4: Simplify right side
    53,267,929,735x = 13,435,860,869,597,462,790,144
  5. Step 5: Solve for x
    x = 13,435,860,869,597,462,790,144/53,267,929,735
  6. Step 6: Final answer
    x = 252,231,707,453.98

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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.