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Finding the Third Proportional to 47,012,202 and 66,581,703

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Solution

The third proportional to 47,012,202 and 66,581,703 is: 94,297,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,012,202 : 66,581,703 = 66,581,703 : x
  2. Step 2: Convert to fraction form
    47,012,202/66,581,703 = 66,581,703/x
  3. Step 3: Cross multiply
    47,012,202x = 66,581,703 × 66,581,703
  4. Step 4: Simplify right side
    47,012,202x = 4,433,123,174,380,209
  5. Step 5: Solve for x
    x = 4,433,123,174,380,209/47,012,202
  6. Step 6: Final answer
    x = 94,297,288.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.