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Finding the Third Proportional to 30,682,319,482,359 and 66,765,964,545,810

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Solution

The third proportional to 30,682,319,482,359 and 66,765,964,545,810 is: 145,285,431,379,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682,319,482,359 : 66,765,964,545,810 = 66,765,964,545,810 : x
  2. Step 2: Convert to fraction form
    30,682,319,482,359/66,765,964,545,810 = 66,765,964,545,810/x
  3. Step 3: Cross multiply
    30,682,319,482,359x = 66,765,964,545,810 × 66,765,964,545,810
  4. Step 4: Simplify right side
    30,682,319,482,359x = 4,457,694,021,732,357,970,734,350,336
  5. Step 5: Solve for x
    x = 4,457,694,021,732,357,970,734,350,336/30,682,319,482,359
  6. Step 6: Final answer
    x = 145,285,431,379,962.59

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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.