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Finding the Third Proportional to 53,683,140 and 82,086,012

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Solution

The third proportional to 53,683,140 and 82,086,012 is: 125,516,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683,140 : 82,086,012 = 82,086,012 : x
  2. Step 2: Convert to fraction form
    53,683,140/82,086,012 = 82,086,012/x
  3. Step 3: Cross multiply
    53,683,140x = 82,086,012 × 82,086,012
  4. Step 4: Simplify right side
    53,683,140x = 6,738,113,366,064,144
  5. Step 5: Solve for x
    x = 6,738,113,366,064,144/53,683,140
  6. Step 6: Final answer
    x = 125,516,379.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.