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Finding the Third Proportional to 14,302,136 and 31,278,016

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Solution

The third proportional to 14,302,136 and 31,278,016 is: 68,403,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302,136 : 31,278,016 = 31,278,016 : x
  2. Step 2: Convert to fraction form
    14,302,136/31,278,016 = 31,278,016/x
  3. Step 3: Cross multiply
    14,302,136x = 31,278,016 × 31,278,016
  4. Step 4: Simplify right side
    14,302,136x = 978,314,284,896,256
  5. Step 5: Solve for x
    x = 978,314,284,896,256/14,302,136
  6. Step 6: Final answer
    x = 68,403,368.90

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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.