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Finding the Third Proportional to 40,903,635 and 65,117,182.50

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Solution

The third proportional to 40,903,635 and 65,117,182.50 is: 103,664,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,903,635 : 65,117,182.50 = 65,117,182.50 : x
  2. Step 2: Convert to fraction form
    40,903,635/65,117,182.50 = 65,117,182.50/x
  3. Step 3: Cross multiply
    40,903,635x = 65,117,182.50 × 65,117,182.50
  4. Step 4: Simplify right side
    40,903,635x = 4,240,247,456,738,306
  5. Step 5: Solve for x
    x = 4,240,247,456,738,306/40,903,635
  6. Step 6: Final answer
    x = 103,664,318.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.