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Finding the Third Proportional to 6,540,629,866.88 and 14,347,539,770.63

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Solution

The third proportional to 6,540,629,866.88 and 14,347,539,770.63 is: 31,472,794,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,629,866.88 : 14,347,539,770.63 = 14,347,539,770.63 : x
  2. Step 2: Convert to fraction form
    6,540,629,866.88/14,347,539,770.63 = 14,347,539,770.63/x
  3. Step 3: Cross multiply
    6,540,629,866.88x = 14,347,539,770.63 × 14,347,539,770.63
  4. Step 4: Simplify right side
    6,540,629,866.88x = 205,851,897,469,666,066,432
  5. Step 5: Solve for x
    x = 205,851,897,469,666,066,432/6,540,629,866.88
  6. Step 6: Final answer
    x = 31,472,794,158.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.