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Finding the Third Proportional to 31,365,136 and 67,943,032

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Solution

The third proportional to 31,365,136 and 67,943,032 is: 147,177,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,365,136 : 67,943,032 = 67,943,032 : x
  2. Step 2: Convert to fraction form
    31,365,136/67,943,032 = 67,943,032/x
  3. Step 3: Cross multiply
    31,365,136x = 67,943,032 × 67,943,032
  4. Step 4: Simplify right side
    31,365,136x = 4,616,255,597,353,024
  5. Step 5: Solve for x
    x = 4,616,255,597,353,024/31,365,136
  6. Step 6: Final answer
    x = 147,177,923.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.