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Finding the Third Proportional to 37,727,851 and 80,834,082

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Solution

The third proportional to 37,727,851 and 80,834,082 is: 173,191,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,727,851 : 80,834,082 = 80,834,082 : x
  2. Step 2: Convert to fraction form
    37,727,851/80,834,082 = 80,834,082/x
  3. Step 3: Cross multiply
    37,727,851x = 80,834,082 × 80,834,082
  4. Step 4: Simplify right side
    37,727,851x = 6,534,148,812,782,724
  5. Step 5: Solve for x
    x = 6,534,148,812,782,724/37,727,851
  6. Step 6: Final answer
    x = 173,191,651.25

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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.