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Finding the Third Proportional to 40,052,565 and 82,228,423.50

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Solution

The third proportional to 40,052,565 and 82,228,423.50 is: 168,815,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,052,565 : 82,228,423.50 = 82,228,423.50 : x
  2. Step 2: Convert to fraction form
    40,052,565/82,228,423.50 = 82,228,423.50/x
  3. Step 3: Cross multiply
    40,052,565x = 82,228,423.50 × 82,228,423.50
  4. Step 4: Simplify right side
    40,052,565x = 6,761,513,631,295,352
  5. Step 5: Solve for x
    x = 6,761,513,631,295,352/40,052,565
  6. Step 6: Final answer
    x = 168,815,995.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.