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Finding the Third Proportional to 32,647,897.13 and 76,961,269.13

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Solution

The third proportional to 32,647,897.13 and 76,961,269.13 is: 181,421,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647,897.13 : 76,961,269.13 = 76,961,269.13 : x
  2. Step 2: Convert to fraction form
    32,647,897.13/76,961,269.13 = 76,961,269.13/x
  3. Step 3: Cross multiply
    32,647,897.13x = 76,961,269.13 × 76,961,269.13
  4. Step 4: Simplify right side
    32,647,897.13x = 5,923,036,945,330,678
  5. Step 5: Solve for x
    x = 5,923,036,945,330,678/32,647,897.13
  6. Step 6: Final answer
    x = 181,421,698.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.