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Finding the Third Proportional to 32,825,519 and 75,991,557

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Solution

The third proportional to 32,825,519 and 75,991,557 is: 175,921,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825,519 : 75,991,557 = 75,991,557 : x
  2. Step 2: Convert to fraction form
    32,825,519/75,991,557 = 75,991,557/x
  3. Step 3: Cross multiply
    32,825,519x = 75,991,557 × 75,991,557
  4. Step 4: Simplify right side
    32,825,519x = 5,774,716,735,284,249
  5. Step 5: Solve for x
    x = 5,774,716,735,284,249/32,825,519
  6. Step 6: Final answer
    x = 175,921,566.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.