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Finding the Third Proportional to 39,112,096.13 and 82,583,475.75

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Solution

The third proportional to 39,112,096.13 and 82,583,475.75 is: 174,371,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,112,096.13 : 82,583,475.75 = 82,583,475.75 : x
  2. Step 2: Convert to fraction form
    39,112,096.13/82,583,475.75 = 82,583,475.75/x
  3. Step 3: Cross multiply
    39,112,096.13x = 82,583,475.75 × 82,583,475.75
  4. Step 4: Simplify right side
    39,112,096.13x = 6,820,030,466,950,838
  5. Step 5: Solve for x
    x = 6,820,030,466,950,838/39,112,096.13
  6. Step 6: Final answer
    x = 174,371,387.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.