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Finding the Third Proportional to 31,449,968 and 67,272,026

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Solution

The third proportional to 31,449,968 and 67,272,026 is: 143,896,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449,968 : 67,272,026 = 67,272,026 : x
  2. Step 2: Convert to fraction form
    31,449,968/67,272,026 = 67,272,026/x
  3. Step 3: Cross multiply
    31,449,968x = 67,272,026 × 67,272,026
  4. Step 4: Simplify right side
    31,449,968x = 4,525,525,482,144,676
  5. Step 5: Solve for x
    x = 4,525,525,482,144,676/31,449,968
  6. Step 6: Final answer
    x = 143,896,028.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.