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Finding the Third Proportional to 37,789,472 and 56,674,353

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Solution

The third proportional to 37,789,472 and 56,674,353 is: 84,996,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,789,472 : 56,674,353 = 56,674,353 : x
  2. Step 2: Convert to fraction form
    37,789,472/56,674,353 = 56,674,353/x
  3. Step 3: Cross multiply
    37,789,472x = 56,674,353 × 56,674,353
  4. Step 4: Simplify right side
    37,789,472x = 3,211,982,287,968,609
  5. Step 5: Solve for x
    x = 3,211,982,287,968,609/37,789,472
  6. Step 6: Final answer
    x = 84,996,749.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.