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Finding the Third Proportional to 6,735,096 and 14,774,032

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Solution

The third proportional to 6,735,096 and 14,774,032 is: 32,408,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735,096 : 14,774,032 = 14,774,032 : x
  2. Step 2: Convert to fraction form
    6,735,096/14,774,032 = 14,774,032/x
  3. Step 3: Cross multiply
    6,735,096x = 14,774,032 × 14,774,032
  4. Step 4: Simplify right side
    6,735,096x = 218,272,021,537,024
  5. Step 5: Solve for x
    x = 218,272,021,537,024/6,735,096
  6. Step 6: Final answer
    x = 32,408,152.99

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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.