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Finding the Third Proportional to 14,545,625 and 31,645,032

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Solution

The third proportional to 14,545,625 and 31,645,032 is: 68,845,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545,625 : 31,645,032 = 31,645,032 : x
  2. Step 2: Convert to fraction form
    14,545,625/31,645,032 = 31,645,032/x
  3. Step 3: Cross multiply
    14,545,625x = 31,645,032 × 31,645,032
  4. Step 4: Simplify right side
    14,545,625x = 1,001,408,050,281,024
  5. Step 5: Solve for x
    x = 1,001,408,050,281,024/14,545,625
  6. Step 6: Final answer
    x = 68,845,996.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.