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Finding the Third Proportional to 31,449,960 and 67,272,010

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Solution

The third proportional to 31,449,960 and 67,272,010 is: 143,895,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449,960 : 67,272,010 = 67,272,010 : x
  2. Step 2: Convert to fraction form
    31,449,960/67,272,010 = 67,272,010/x
  3. Step 3: Cross multiply
    31,449,960x = 67,272,010 × 67,272,010
  4. Step 4: Simplify right side
    31,449,960x = 4,525,523,329,440,100
  5. Step 5: Solve for x
    x = 4,525,523,329,440,100/31,449,960
  6. Step 6: Final answer
    x = 143,895,996.35

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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.