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Finding the Third Proportional to 47,939,472 and 74,146,536

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Solution

The third proportional to 47,939,472 and 74,146,536 is: 114,680,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,939,472 : 74,146,536 = 74,146,536 : x
  2. Step 2: Convert to fraction form
    47,939,472/74,146,536 = 74,146,536/x
  3. Step 3: Cross multiply
    47,939,472x = 74,146,536 × 74,146,536
  4. Step 4: Simplify right side
    47,939,472x = 5,497,708,800,799,296
  5. Step 5: Solve for x
    x = 5,497,708,800,799,296/47,939,472
  6. Step 6: Final answer
    x = 114,680,211.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.