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Finding the Third Proportional to 39,082,905 and 83,532,890.25

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Solution

The third proportional to 39,082,905 and 83,532,890.25 is: 178,536,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,082,905 : 83,532,890.25 = 83,532,890.25 : x
  2. Step 2: Convert to fraction form
    39,082,905/83,532,890.25 = 83,532,890.25/x
  3. Step 3: Cross multiply
    39,082,905x = 83,532,890.25 × 83,532,890.25
  4. Step 4: Simplify right side
    39,082,905x = 6,977,743,753,518,545
  5. Step 5: Solve for x
    x = 6,977,743,753,518,545/39,082,905
  6. Step 6: Final answer
    x = 178,536,978.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.