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Finding the Third Proportional to 29,902,801.50 and 48,828,253.50

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Solution

The third proportional to 29,902,801.50 and 48,828,253.50 is: 79,731,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902,801.50 : 48,828,253.50 = 48,828,253.50 : x
  2. Step 2: Convert to fraction form
    29,902,801.50/48,828,253.50 = 48,828,253.50/x
  3. Step 3: Cross multiply
    29,902,801.50x = 48,828,253.50 × 48,828,253.50
  4. Step 4: Simplify right side
    29,902,801.50x = 2,384,198,339,860,262
  5. Step 5: Solve for x
    x = 2,384,198,339,860,262/29,902,801.50
  6. Step 6: Final answer
    x = 79,731,604.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.